The Hecke algebra and structure constants of the ring of symmetric polynomials

2006/02/17 by Alain Lascoux, Lascoux, Alain
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics #Combinatorics (math.CO) #FOS: Mathematics #Group Theory

paper · pdf · doi:10.48550/arxiv.math/0602379

openalex publication_date 2006/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give half a dozen bases of the Hecke algebra of the symmetric group, and relate them to the basis of Geck-Rouquier, and to the basis of Jones, using matrices of change of bases of the ring of symmetric polynomials.

Related

• A new integral basis for the centre of the Hecke algebra of type A
• On bases of centres of Iwahori-Hecke algebras of the symmetric group
• A basis for the diagonally signed-symmetric polynomials
• Monomial bases for the centres of the group algebra and Iwahori--Hecke algebra of S₄
• Stable Centres of Iwahori-Hecke Algebras of type A