scientific article; zbMATH DE number 1131863

zbMath0895.20031MaRDI QIDQ4382853

George Lusztig

Publication date: 23 March 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

affine Weyl groupssemisimple Lie algebrasrepresentations of affine Hecke algebras

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

On graded representations of modular Lie algebras over commutative algebras, Two-row \(W\)-graphs in affine type \(A\), Representations of 𝔰𝔩3 in characteristic 3, Dimensions of modular irreducible representations of semisimple Lie algebras, Unnamed Item, Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula, On Lusztig’s asymptotic Hecke algebra for 𝑆𝐿₂, Filtrations in Modular Representations of Reductive Lie Algebras, Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at \(t=\infty\), Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths, Admissible 𝑊-graphs, Analogues of Weyl's Formula for Reduced Enveloping Algebras, Bases in equivariant 𝐾-theory. II, Modular representations of reductive Lie algebras

Cites Work

• Unnamed Item
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Hecke algebras and Jantzen's generic decomposition patterns
• Representations of Coxeter groups and Hecke algebras
• On the Kazhdan-Lusztig polynomials for affine Weyl groups
• Affine Hecke Algebras and Their Graded Version
• Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold
• Introduction to quantum groups