JOURNAL ARTICLE

Nonsemisimple Macdonald polynomials

Abstract

The paper is mainly devoted to the irreducibility of the polynomial representation of the Double affine Hecke algebra, DAHA, for arbitrary reduced root systems and generic “central charge” q.

Keywords:
Mathematics Macdonald polynomials Combinatorics Pure mathematics Orthogonal polynomials Discrete orthogonal polynomials

Metrics

0
Cited By
0.00
FWCI (Field Weighted Citation Impact)
0
Refs
0.38
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Topics

Advanced Combinatorial Mathematics
Physical Sciences →  Mathematics →  Discrete Mathematics and Combinatorics
Advanced Mathematical Identities
Physical Sciences →  Mathematics →  Algebra and Number Theory

Related Documents

JOURNAL ARTICLE

Nonsemisimple Macdonald polynomials

Ivan Cherednik

Journal:   Selecta Mathematica Year: 2009 Vol: 14 (3-4)Pages: 427-569
BOOK

Macdonald Polynomials

Masatoshi Noumi

SpringerBriefs in mathematical physics Year: 2023
JOURNAL ARTICLE

Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials

Andreĭ Okounkov

Journal:   Transformation Groups Year: 2003 Vol: 8 (3)Pages: 293-305
BOOK-CHAPTER

Macdonald–Koornwinder Polynomials

Jasper V. Stokman

Cambridge University Press eBooks Year: 2020 Pages: 258-313
© 2026 ScienceGate Book Chapters — All rights reserved.