Young Tableaux

Author : William Fulton
Publisher : Cambridge University Press
ISBN 13 : 9780521567244
Total Pages : 276 pages
Book Rating : 4.46/5 ( download)

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Download or read book Young Tableaux written by William Fulton and published by Cambridge University Press. This book was released on 1997 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.

Author : Jang Soo Kim
Publisher : American Mathematical Society
ISBN 13 : 1470459949
Total Pages : 100 pages
Book Rating : 4.49/5 ( download)

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Download or read book Weight Multiplicities and Young Tableaux Through Affine Crystals written by Jang Soo Kim and published by American Mathematical Society. This book was released on 2023-03-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Author : Joseph P.S. Kung
Publisher : Elsevier
ISBN 13 : 1483272028
Total Pages : 344 pages
Book Rating : 4.23/5 ( download)

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Download or read book Young Tableaux in Combinatorics, Invariant Theory, and Algebra written by Joseph P.S. Kung and published by Elsevier. This book was released on 2014-05-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Susumu Ariki
Publisher : American Mathematical Soc.
ISBN 13 : 0821832328
Total Pages : 169 pages
Book Rating : 4.25/5 ( download)

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Download or read book Representations of Quantum Algebras and Combinatorics of Young Tableaux written by Susumu Ariki and published by American Mathematical Soc.. This book was released on 2002 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : H.F Jones
Publisher : CRC Press
ISBN 13 : 9781420050295
Total Pages : 348 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Groups, Representations and Physics written by H.F Jones and published by CRC Press. This book was released on 2020-07-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Shreeram Shankar Abhyankar
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.84/5 ( download)

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Download or read book Enumerative Combinatorics of Young Tableaux written by Shreeram Shankar Abhyankar and published by . This book was released on 1988 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Zhong-Qi Ma
Publisher : World Scientific
ISBN 13 : 9789812388339
Total Pages : 480 pages
Book Rating : 4.38/5 ( download)

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Download or read book Problems & Solutions in Group Theory for Physicists written by Zhong-Qi Ma and published by World Scientific. This book was released on 2004 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at graduate students and young researchers in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. This book is also suitable for some graduate students in theoretical chemistry.

Author : Muge Taskin
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.6B/5 ( download)

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Download or read book Properties of Four Partial Orders on Standard Young Tableaux written by Muge Taskin and published by . This book was released on 2006 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Shreeram Shankar Abhyankar
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.58/5 ( download)

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Download or read book Young Tableaux and Linear Independence of Standard Monomials in Multiminors of a Multimatrix written by Shreeram Shankar Abhyankar and published by . This book was released on 1988 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : S. Oneda
Publisher : World Scientific
ISBN 13 : 9789810204983
Total Pages : 374 pages
Book Rating : 4.81/5 ( download)

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Download or read book Asymptotic Symmetry and Its Implication in Elementary Particle Physics written by S. Oneda and published by World Scientific. This book was released on 1991 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In elementary particle physics, there are a number of recognizable underlying symmetries which correctly describe spectacular multiplet structure of observed particles. However, lack of a consistent method to deal with badly broken symmetry has hindered the investigation through symmetry. With this book the authors hope to arouse interest in the approach to broken symmetry from a fresh point of view.The authors argue that spectrum generating symmetries still maintain asymptotic symmetry for physical (not virtual) particles. When combined with the symmetry related equal-time commutation relations which are derivable from fundamental Lagrangian, asymptotic symmetry then demands a close interplay among the masses, mixing parameters and coupling constants of physical particles. From this point of view, we may understand the success of the naive quark model, remarkable mass and mass-mixing angle relations in QCD and electroweak theory and even the presence of dynamical selection rules. The method may also give us a powerful tool for the study of new physics where fundamental Lagrangian is not yet known.