A partition of the Springer fibers \({\mathcal B}_N\) for type \(A_{n-1}\), \(B_2\), \(G_2\) and some applications

DOI10.1016/S0019-3577(99)80024-XzbMath1029.20022OpenAlexW2057394931MaRDI QIDQ698642

Nanhua Xi

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(99)80024-x

zbMATH Keywords

Borel subalgebrasLie algebrasconnected reductive groupsSpringer fibersrepresentations of affine Hecke algebrasequivariant \(K\)-groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) (K)-theory of schemes (19E08)

Related Items (3)

Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. II. ⋮ Betti numbers of Springer fibers in type \(A\) ⋮ Borel subgroups adapted to nilpotent elements of standard Levi type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unipotent representations of complex semisimple groups
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Representations of affine Hecke algebras
• Some theorems on actions of algebraic groups
• Regular elements of semisimple algebraic groups
• Fully Reducible Subgroups of Algebraic Groups
• Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold

This page was built for publication: A partition of the Springer fibers \({\mathcal B}_N\) for type \(A_{n-1}\), \(B_2\), \(G_2\) and some applications