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Invariant Theory and Tableaux

Buch | Hardcover

309 Seiten

1989
Springer-Verlag New York Inc.
978-0-387-97170-4 (ISBN)

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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.

Contents: Introduction to Invariant Theory in Superalgebras; Implementation of the Straightening Algorithm of Classical Invariant Theory; Canonical Forms of Binary Forms: Variations on a Theme of Sylvester; Invariant Theory, Equivalence Problems, and the Calculus of Variations; A Survey of Invariant Theory Applied to Normal Forms of Vectorfields with Nilpotent Linear Part; Operators Commuting with Coexeter Group Actions on Polynomials; The Mobius Function of Subword Order; Keys & Standard Bases; Variations on Differential Posets; Idempotents for the Free Lie Algebra and q-Enumeration; Tableaux in the Representation Theory of the Classical Lie Groups; S-Functions and Characters of Lie Algebras and Superalgebras; The Ubiquitous Young Tableau.

Reihe/Serie	The IMA Volumes in Mathematics and its Applications ; v. 19
Zusatzinfo	3 figs.
Verlagsort	New York, NY
Sprache	englisch
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-387-97170-X / 038797170X
ISBN-13	978-0-387-97170-4 / 9780387971704
Zustand	Neuware