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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| Korporativní autor: | |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2023.
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| Vydání: | 1st ed. 2023. |
| Edice: | SpringerBriefs in Mathematical Physics,
50 |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-981-99-4587-0 |
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Obsah:
- 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).