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Symmetric Functions and Macdonald Polynomials

This work consists of two independent parts. The first part deals with deformations of the usual basis of symmetric functions using techniques of umbral calculus. As main result the author obtains a characterization of all possible bases for the ring of symmetric functions for which the Littlewood—Richardson coefficients arise as structure coefficients. The second part solves a ten years old conjecture concerning Macdonald polynomials: the Kawanaka Macdonald polynomial conjecture.
Symmetric Functions and Macdonald Polynomials
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This work consists of two independent parts. The first part deals with deformations of the usual basis of symmetric functions using techniques of umbral calculus. As main result the author obtains a characterization of all possible bases for the ring of symmetric functions for which the Littlewood—Richardson coefficients arise as structure coefficients. The second part solves a ten years old conjecture concerning Macdonald polynomials: the Kawanaka Macdonald polynomial conjecture.
R. Langer got her bachelor's degree in Mathematics at The University of Melbourne, Australia, and her master's degree at the same institution under the direction of Dr. Ole Warnaar.
Author
Robin Langer
ISBN-10
3838368924
ISBN-13
9783838368924
Format
Paperback
Year
2010
Media
Book
Publication Date
2010-06-08
Pages
84
Short Title
SYMMETRIC FUNCTIONS & MACDONAL
Language
English
Product Classification Type
PR
Subtitle
coalgebra structure and Kawanaka identity
Publisher
Lap Lambert Academic Publishing
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