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Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - S. V. Kerov

(*)

S. V. Kerov:
Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - hardcover

ISBN: 0821834401

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Thi… More...

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. In it, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on the important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics., 13889, Abstract, 13887, Algebra, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13940, Group Theory, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books<

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Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - S. V. Kerov

(*)

S. V. Kerov:
Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - hardcover

ISBN: 0821834401

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Thi… More...

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. In it, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on the important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics., 13889, Abstract, 13887, Algebra, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13940, Group Theory, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books<

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Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - Kerov, S. V.

(*)

Kerov, S. V.:
Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - hardcover

2003, ISBN: 9780821834404

Übersetzer: Tsilevich, N. V. Oxford University Press, Gebundene Ausgabe, 201 Seiten, Publiziert: 2003-07-01T00:00:01Z, Produktgruppe: Buch, 1.31 kg, Algebra & Zahlentheorie, Naturwissensc… More...

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Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - Kerov, S. V.

(*)

Kerov, S. V.:
Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - hardcover

2003, ISBN: 9780821834404

Übersetzer: Tsilevich, N. V. Oxford University Press, Gebundene Ausgabe, 201 Seiten, Publiziert: 2003-07-01T00:00:01Z, Produktgruppe: Buch, 1.31 kg, Algebra & Zahlentheorie, Naturwissensc… More...

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Asymptotic Representation Theory of the Symmetric Group and Its Applications in Analysis

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Asymptotic Representation Theory of the Symmetric Group and Its Applications in Analysis - hardcover

2003, ISBN: 9780821834404

Buch, Hardcover, [PU: American Mathematical Society], American Mathematical Society, 2003

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Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - S. V. Kerov

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S. V. Kerov:

Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - hardcover

ISBN: 0821834401

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Thi… More...

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. In it, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on the important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics., 13889, Abstract, 13887, Algebra, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13940, Group Theory, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books<

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Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - S. V. Kerov

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S. V. Kerov:

Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) - hardcover

ISBN: 0821834401

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Thi… More...

[SR: 5096341], Hardcover, [EAN: 9780821834404], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. In it, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on the important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics., 13889, Abstract, 13887, Algebra, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13940, Group Theory, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books<

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Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - Kerov, S. V.

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Kerov, S. V.:
Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - hardcover

2003

ISBN: 9780821834404

Übersetzer: Tsilevich, N. V. Oxford University Press, Gebundene Ausgabe, 201 Seiten, Publiziert: 2003-07-01T00:00:01Z, Produktgruppe: Buch, 1.31 kg, Algebra & Zahlentheorie, Naturwissensc… More...

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Kerov, S. V.:
Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs) - hardcover

2003, ISBN: 9780821834404

Übersetzer: Tsilevich, N. V. Oxford University Press, Gebundene Ausgabe, 201 Seiten, Publiziert: 2003-07-01T00:00:01Z, Produktgruppe: Buch, 1.31 kg, Algebra & Zahlentheorie, Naturwissensc… More...

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Asymptotic Representation Theory of the Symmetric Group and Its Applications in Analysis

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Asymptotic Representation Theory of the Symmetric Group and Its Applications in Analysis - hardcover

2003, ISBN: 9780821834404

Buch, Hardcover, [PU: American Mathematical Society], American Mathematical Society, 2003

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Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs)

Author:	Kerov, S. V.
Title:	Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs)
ISBN:	0821834401

This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. In it, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on the important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics.

Details of the book - Asymptotic Representation Theory of the Symmetric Group and (Translations of Mathematical Monographs)

EAN (ISBN-13): 9780821834404
ISBN (ISBN-10): 0821834401
Hardcover
Publishing year: 2003
Publisher: Oxford University Press

Book in our database since 2007-05-11T15:26:48+01:00 (London)
Detail page last modified on 2023-01-19T16:27:09+00:00 (London)
ISBN/EAN: 0821834401

ISBN - alternate spelling:
0-8218-3440-1, 978-0-8218-3440-4
Alternate spelling and related search-keywords:
Book author: kero
Book title: representation theory, asymptotic analysis, representation symmetric, mathematical analysis applications, theory group representations and application

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