Macdonald Polynomials : Commuting Family of q-Difference Operators and Their Joint Eigenfunctions /
This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021. Macdon...
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| Format: | Book |
| Language: | English |
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Singapore :
Springer Nature Singapore : Imprint: Springer,
2023
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| Edition: | 1st ed. 2023 |
| Series: | SpringerBriefs in Mathematical Physics,
50 |
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Table of Contents:
- Overview of Macdonald polynomials
- Preliminaries on symmetric functions
- Schur functions
- Macdonald polynomials: Definition and examples
- Orthogonality and higher order q-difference operators
- Self-duality, Pieri formula and Cauchy formulas
- Littlewood-Richardson coefficients and branching coefficients
- Affine Hecke algebra and q-Dunkl operators (overview)