One of the classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has been known to be connected to combinatorics, representation theory and other branches of mathematics. This work explains some of the developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Series: University Lecture Series. Num Pages: 63 pages. BIC Classification: PBF; PBK; PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 260 x 184. Weight in Grams: 145. . 1998. Paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Symmetric Functions and Orthogonal Polynomials (University Lecture Series, Vol 12) ULECT/12
Publisher: Amer Mathematical Society
Publication Date: 1870
Language: English
ISBN 10: 0821807706
ISBN 13: 9780821807705
Binding: Soft cover
Condition: New

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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.

Review

Can serve as a self-contained introduction for anyone with some background in symmetric functions and root systems. -- Zentralblatt f�r Mathematik

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