On the center of affine Hecke algebras of type \(A\).

DOI10.1016/S0021-8693(02)00098-4zbMath1068.20002arXivmath/0005182OpenAlexW2021601459MaRDI QIDQ1849132

Olivier Schiffmann

Publication date: 28 November 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005182

zbMATH Keywords

affine Hecke algebrasaffine Kazhdan-Lusztig polynomialscanonical basescentral elementsquantum affine Schur-Weyl dualityCoxeter presentationsHall algebras of cyclic quivers

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20)

Related Items

Symmetric functions and the centre of the Ringel-Hall algebra of a cyclic quiver., Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra.

Cites Work

• On quotients of Hom-functors and representations of finite general linear groups. I
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• Duality in parabolic set up for questions in Kazhdan-Lusztig theory
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\)
• Affine quivers and canonical bases
• Test functions for Shimura varieties: the Drinfeld case
• Decomposition of \(q\)-deformed Fock spaces
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• On the decomposition matrices of the quantized Schur algebra
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Canonical Bases Arising from Quantized Enveloping Algebras
• Cyclotomic q-Schur algebras as quotients of quantum algebras
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• The combinatorics of Bernstein functions
• Construction of central elements in the affine Hecke algebra via nearby cycles
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