Representation Theory Of The Symmetric Groups


Representation Theory Of The Symmetric Groups
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Representation Theory Of The Symmetric Group


Representation Theory Of The Symmetric Group
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Author : Gilbert de Beauregard Robinson
language : en
Publisher: Edinburgh : University Press
Release Date : 1961

Representation Theory Of The Symmetric Group written by Gilbert de Beauregard Robinson and has been published by Edinburgh : University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Group theory categories.




Representation Theory Of Symmetric Groups


Representation Theory Of Symmetric Groups
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Author : Pierre-Loic Meliot
language : en
Publisher: CRC Press
Release Date : 2017-05-12

Representation Theory Of Symmetric Groups written by Pierre-Loic Meliot and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Mathematics categories.


Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.



The Representation Theory Of The Symmetric Group


The Representation Theory Of The Symmetric Group
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Author : Gordon Douglas James
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28

The Representation Theory Of The Symmetric Group written by Gordon Douglas James and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.


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.



Representation Theory Of The Symmetric Groups


Representation Theory Of The Symmetric Groups
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Author : Tullio Ceccherini-Silberstein
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-04

Representation Theory Of The Symmetric Groups written by Tullio Ceccherini-Silberstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.


The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.



The Representation Theory Of The Symmetric Groups


The Representation Theory Of The Symmetric Groups
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Author : G.D. James
language : en
Publisher: Springer
Release Date : 2006-11-15

The Representation Theory Of The Symmetric Groups written by G.D. James and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




The Representation Theory Of The Symmetric Group


The Representation Theory Of The Symmetric Group
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Author : Gordon Douglas James
language : en
Publisher:
Release Date : 1985

The Representation Theory Of The Symmetric Group written by Gordon Douglas James and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Representations of groups categories.


The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups.



The Symmetric Group


The Symmetric Group
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Author : Bruce E. Sagan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

The Symmetric Group written by Bruce E. Sagan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


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


Representation Theory Of Symmetric Groups
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Author : Pierre-Loic Meliot
language : en
Publisher: CRC Press
Release Date : 2017-05-12

Representation Theory Of Symmetric Groups written by Pierre-Loic Meliot and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Mathematics categories.


Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.



Lambda Rings And The Representation Theory Of The Symmetric Group


Lambda Rings And The Representation Theory Of The Symmetric Group
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Author : Donald Knutson
language : en
Publisher: Springer
Release Date : 2006-11-15

Lambda Rings And The Representation Theory Of The Symmetric Group written by Donald Knutson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Asimptoti Eskaja Teorija Predstavlenija Simmetri Eskoj Gruppyi Ee Primenenija V Analize


Asimptoti Eskaja Teorija Predstavlenija Simmetri Eskoj Gruppyi Ee Primenenija V Analize
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Author : Sergei Vasilʹevich Kerov
language : en
Publisher: American Mathematical Soc.
Release Date :

Asimptoti Eskaja Teorija Predstavlenija Simmetri Eskoj Gruppyi Ee Primenenija V Analize written by Sergei Vasilʹevich Kerov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.