Bases in equivariant 𝐾-theory. II

DOI10.1090/S1088-4165-99-00083-7zbMath0999.20036MaRDI QIDQ4485766

George Lusztig

Publication date: 18 June 2000

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic \(W\)-graphs

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Equivariant (K)-theory (19L47)

Related Items (20)

Subregular representations of 𝔰𝔩_{𝔫} and simple singularities of type 𝔄_{𝔫-1}. II ⋮ Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution ⋮ Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. II. ⋮ Two-row \(W\)-graphs in affine type \(A\) ⋮ Dimensions of modular irreducible representations of semisimple Lie algebras ⋮ Unnamed Item ⋮ Exotic t-structures and actions of quantum affine algebras ⋮ Differential operators on quantized flag manifolds at roots of unity. III ⋮ Generalised Burnside rings, G-categories and module categories ⋮ Induced and simple modules of double affine Hecke algebras. ⋮ Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A ⋮ 2-groups, 2-characters, and Burnside rings ⋮ Geometric braid group action on derived categories of coherent sheaves ⋮ On exotic and perverse-coherent sheaves ⋮ Cuspidal local systems and graded Hecke algebras, III ⋮ Finite-dimensional representations of DAHA and affine Springer fibers: the spherical case. ⋮ Analogues of Weyl's Formula for Reduced Enveloping Algebras ⋮ Remarks on quiver varieties ⋮ Light leaves and Lusztig's conjecture ⋮ Quiver varieties and finite dimensional representations of quantum affine algebras

Cites Work

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• A Lefschetz formula in equivariant algebraic \(K\)-theory
• Some theorems on actions of algebraic groups
• Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold
• Bases in equivariant 𝐾-theory
• Subregular Nilpotent Elements and Bases in K-Theory

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