Young Tableaux - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Young Tableaux write by William Fulton. This book was released on 1997. Young Tableaux available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Young Tableaux in Combinatorics, Invariant Theory, and Algebra write by Joseph P.S. Kung. This book was released on 2014-05-12. Young Tableaux in Combinatorics, Invariant Theory, and Algebra available in PDF, EPUB and Kindle. 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.
Representations of Quantum Algebras and Combinatorics of Young Tableaux
Representations of Quantum Algebras and Combinatorics of Young Tableaux - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Quantum Algebras and Combinatorics of Young Tableaux write by Susumu Ariki. This book was released on 2002. Representations of Quantum Algebras and Combinatorics of Young Tableaux available in PDF, EPUB and Kindle. 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.
Weight Multiplicities and Young Tableaux Through Affine Crystals
Weight Multiplicities and Young Tableaux Through Affine Crystals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Weight Multiplicities and Young Tableaux Through Affine Crystals write by Jang Soo Kim. This book was released on 2023-03-09. Weight Multiplicities and Young Tableaux Through Affine Crystals available in PDF, EPUB and Kindle. View the abstract.
Groups, Representations and Physics
Groups, Representations and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups, Representations and Physics write by H.F Jones. This book was released on 2020-07-14. Groups, Representations and Physics available in PDF, EPUB and Kindle. 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.
