Author: Gordon Douglas James
Publisher: Cambridge University Press
ISBN: 0521302366
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.
The Representation Theory of the Symmetric Group
Author: Gordon Douglas James
Publisher: Cambridge University Press
ISBN: 0521302366
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.
Publisher: Cambridge University Press
ISBN: 0521302366
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.
The Symmetric Group
Author: Bruce E. Sagan
Publisher: Springer Science & Business Media
ISBN: 1475768044
Category : Mathematics
Languages : en
Pages : 254
Book Description
This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH
Publisher: Springer Science & Business Media
ISBN: 1475768044
Category : Mathematics
Languages : en
Pages : 254
Book Description
This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH
Representation Theory of Symmetric Groups
Author: Pierre-Loic Méliot
Publisher:
ISBN: 9787576706192
Category : Representations of groups
Languages : zh-CN
Pages : 0
Book Description
Publisher:
ISBN: 9787576706192
Category : Representations of groups
Languages : zh-CN
Pages : 0
Book Description
Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize
Author: Sergei Vasilʹevich Kerov
Publisher: American Mathematical Soc.
ISBN: 9780821889633
Category : Mathematics
Languages : en
Pages : 224
Book Description
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. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an 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.
Publisher: American Mathematical Soc.
ISBN: 9780821889633
Category : Mathematics
Languages : en
Pages : 224
Book Description
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. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an 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.
Linear and Projective Representations of Symmetric Groups
Author: Alexander Kleshchev
Publisher: Cambridge University Press
ISBN: 1139444069
Category : Mathematics
Languages : en
Pages : 293
Book Description
The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own
Publisher: Cambridge University Press
ISBN: 1139444069
Category : Mathematics
Languages : en
Pages : 293
Book Description
The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own
Representations of the Infinite Symmetric Group
Author: Alexei Borodin
Publisher: Cambridge University Press
ISBN: 1107175550
Category : Mathematics
Languages : en
Pages : 169
Book Description
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Publisher: Cambridge University Press
ISBN: 1107175550
Category : Mathematics
Languages : en
Pages : 169
Book Description
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Representation Theory of Finite Groups
Author: Benjamin Steinberg
Publisher: Springer Science & Business Media
ISBN: 1461407761
Category : Mathematics
Languages : en
Pages : 166
Book Description
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.
Publisher: Springer Science & Business Media
ISBN: 1461407761
Category : Mathematics
Languages : en
Pages : 166
Book Description
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.
Lambda-Rings and the Representation Theory of the Symmetric Group
Author: Donald Knutson
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 216
Book Description
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 216
Book Description
Integral Representations
Author: I. Reiner
Publisher: Springer
ISBN: 3540350071
Category : Mathematics
Languages : en
Pages : 284
Book Description
Publisher: Springer
ISBN: 3540350071
Category : Mathematics
Languages : en
Pages : 284
Book Description
Representation Theory
Author: Amritanshu Prasad
Publisher: Cambridge University Press
ISBN: 1107082056
Category : Mathematics
Languages : en
Pages : 205
Book Description
This book examines the fundamental results of modern combinatorial representation theory. The exercises are interspersed with text to reinforce readers' understanding of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.
Publisher: Cambridge University Press
ISBN: 1107082056
Category : Mathematics
Languages : en
Pages : 205
Book Description
This book examines the fundamental results of modern combinatorial representation theory. The exercises are interspersed with text to reinforce readers' understanding of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.