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Young Tableaux


Young Tableaux
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Young Tableaux


Young Tableaux
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Author : William Fulton
language : en
Publisher: Cambridge University Press
Release Date : 1997

Young Tableaux written by William Fulton 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 1997 with Mathematics categories.


Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.



Young Tableaux In Combinatorics Invariant Theory And Algebra


Young Tableaux In Combinatorics Invariant Theory And Algebra
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Author : Joseph P.S. Kung
language : en
Publisher: Elsevier
Release Date : 2014-05-12

Young Tableaux In Combinatorics Invariant Theory And Algebra written by Joseph P.S. Kung and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.


Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work is an anthology of papers on Young tableaux and their applications in combinatorics, invariant theory, and algebra. Topics covered include reverse plane partitions and tableau hook numbers; some partitions associated with a partially ordered set; frames and Baxter sequences; and Young diagrams and ideals of Pfaffians. Comprised of 16 chapters, this book begins by describing a probabilistic proof of a formula for the number f? of standard Young tableaux of a given shape f?. The reader is then introduced to the generating function of R. P. Stanley for reverse plane partitions on a tableau shape; an analog of Schensted's algorithm relating permutations and triples consisting of two shifted Young tableaux and a set; and a variational problem for random Young tableaux. Subsequent chapters deal with certain aspects of Schensted's construction and the derivation of the Littlewood-Richardson rule for the multiplication of Schur functions using purely combinatorial methods; monotonicity and unimodality of the pattern inventory; and skew-symmetric invariant theory. This volume will be helpful to students and practitioners of algebra.



Young Tableaux


Young Tableaux
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Author : William Fulton
language : en
Publisher:
Release Date : 1997

Young Tableaux written by William Fulton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with MATHEMATICS categories.


Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.



Enumerative Combinatorics Of Young Tableaux


Enumerative Combinatorics Of Young Tableaux
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Author : Shreeram Shankar Abhyankar
language : en
Publisher:
Release Date : 1988

Enumerative Combinatorics Of Young Tableaux written by Shreeram Shankar Abhyankar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




Weight Multiplicities And Young Tableaux Through Affine Crystals


Weight Multiplicities And Young Tableaux Through Affine Crystals
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Author : Jang Soo Kim
language : en
Publisher: American Mathematical Society
Release Date : 2023-03-09

Weight Multiplicities And Young Tableaux Through Affine Crystals written by Jang Soo Kim and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Mathematics categories.


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Representations Of Quantum Algebras And Combinatorics Of Young Tableaux


Representations Of Quantum Algebras And Combinatorics Of Young Tableaux
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Author : Susumu Ariki
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Representations Of Quantum Algebras And Combinatorics Of Young Tableaux written by Susumu Ariki 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 2002 with Mathematics categories.


This book contains most of the nonstandard material necessary to get acquainted with this new rapidly developing area. It can be used as a good entry point into the study of representations of quantum groups. Among several tools used in studying representations of quantum groups (or quantum algebras) are the notions of Kashiwara's crystal bases and Lusztig's canonical bases. Mixing both approaches allows us to use a combinatorial approach to representations of quantum groups and toapply the theory to representations of Hecke algebras. The primary goal of this book is to introduce the representation theory of quantum groups using quantum groups of type $A {r-1 {(1) $ as a main example. The corresponding combinatorics, developed by Misra and Miwa, turns out to be thecombinatorics of Young tableaux. The second goal of this book is to explain the proof of the (generalized) Leclerc-Lascoux-Thibon conjecture. This conjecture, which is now a theorem, is an important breakthrough in the modular representation theory of the Hecke algebras of classical type. The book is suitable for graduate students and research mathematicians interested in representation theory of algebraic groups and quantum groups, the theory of Hecke algebras, algebraic combinatorics, andrelated fields.



Young Tableaux And Linear Independence Of Standard Monomials In Multiminors Of A Multimatrix


Young Tableaux And Linear Independence Of Standard Monomials In Multiminors Of A Multimatrix
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Author : Shreeram Shankar Abhyankar
language : en
Publisher:
Release Date : 1988

Young Tableaux And Linear Independence Of Standard Monomials In Multiminors Of A Multimatrix written by Shreeram Shankar Abhyankar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




Enumerative Combinatorics Of Young Tableaux


Enumerative Combinatorics Of Young Tableaux
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Author : Shreeram Shankar Abhyankar
language : en
Publisher:
Release Date :

Enumerative Combinatorics Of Young Tableaux written by Shreeram Shankar Abhyankar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Groups Representations And Physics


Groups Representations And Physics
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Author : H.F Jones
language : en
Publisher: CRC Press
Release Date : 2020-07-14

Groups Representations And Physics written by H.F Jones and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-14 with Mathematics categories.


Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.



Young Tableaux Icm Edition


Young Tableaux Icm Edition
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Author : William Fulton
language : en
Publisher:
Release Date : 2010-07-23

Young Tableaux Icm Edition written by William Fulton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with categories.