Affine quantum Schur algebras at roots of unity

DOI10.1142/S0129167X17500562zbMath1405.20035arXiv1205.2997OpenAlexW2963378830MaRDI QIDQ4975372

No author found.

Publication date: 4 August 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2997

zbMATH Keywords

affine Hecke algebrasaffine quantum Schur algebrasquantum affine \(\mathfrak{gl}_n\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Schur and (q)-Schur algebras (20G43)

Related Items

Affine quasi-heredity of affine Schur algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blocks of affine quantum Schur algebras
• Representations of little \(q\)-Schur algebras.
• Affine quantum Schur algebras and affine Hecke algebras
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• On modules over the Hecke algebra of a p-adic group
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Quantum affine algebras
• The affine \(q\)-Schur algebra
• Representations of affine Hecke algebras
• Braid group action and quantum affine algebras
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\)
• The \(q\)-characters at roots of unity
• The Hopf algebra \(\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty\)
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• On the decomposition matrices of the quantized Schur algebra
• Identification of simple representations for affine \(q\)-Schur algebras
• Presenting affine \(q\)-Schur algebras
• Generalized \(q\)-Schur algebras and quantum Frobenius
• A Double Hall Algebra Approach to Affine Quantum Schur--Weyl Theory
• Representations of affine Hecke algebras and based rings of affine Weyl groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I