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Symmetric Functions and Orthogonal Polynomials

✍ Scribed by I. G. MacDonald

Book ID
127398536
Publisher
American Mathematical Society
Year
1998
Tongue
English
Weight
629 KB
Series
University lecture series 12
Category
Library
City
Providence, R.I
ISBN-13
9780821807705
ISSN
1047-3998

No coin nor oath required. For personal study only.

✦ Synopsis

One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has long been known to be connected to combinatorics, representation theory, and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.

πŸ“œ SIMILAR VOLUMES

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The d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetric classical polynomials according to the Hahn property. In this work, we give some characteristic properties for these polynomials related to generating functions and recurrence-differential equations. As app

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Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective