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.
Invariant Theory and Tableaux
Invariant Theory and 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 Invariant Theory and Tableaux write by Dennis Stanton. This book was released on 1990. Invariant Theory and Tableaux available in PDF, EPUB and Kindle.
Invariant theory and tableaux
Invariant theory and 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 Invariant theory and tableaux write by Dennis Stanton. This book was released on 1990. Invariant theory and tableaux available in PDF, EPUB and Kindle.
Invariant Theory and Tableaux
Invariant Theory and 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 Invariant Theory and Tableaux write by Dennis Stanton. This book was released on 1990. Invariant Theory and Tableaux available in PDF, EPUB and Kindle. This volume stems from a workshop held for the Applied Combinatorics program in March 1988. The central idea of the workshop was the recent interplay of the classical analysis of q-series, and the combinatorial analysis of partitions of integers. Many related topics were discussed, including orthogonal polynomials, the Macdonald conjectures for root systems, and related integrals. Those people interested in combinatorial enumeration and special functions will find this volume of interest. Recent applications of q-series (and related functions) to exactly solvable statistical mechanics models and to statistics makes this volume of interest to non-specialists. Included are several expository papers, and a series of papers on new work on the unimodality of the q-binomial coefficient.
Lectures on Invariant Theory
Lectures on Invariant Theory - 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 Lectures on Invariant Theory write by Igor Dolgachev. This book was released on 2003-08-07. Lectures on Invariant Theory available in PDF, EPUB and Kindle. The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
