On Modules Supported in the Nullcone

Mark Shimozono ()
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Mark Shimozono: Virginia Tech, Department of Mathematics

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 67-75 from Springer

Abstract: Abstract We discuss some conjectures for bases of the GL(n) × ℂ* — equivariant K-theory of the closure of the conjugacy class of a nilpotent n × n matrix. One basis is a canonical basis coming from Lusztig’s theory of canonical bases of affine Hecke algebras. The other (conjectural) basis has graded characters which, when expanded in terms of irreducible characters, has coefficient polynomials that are q-analogues of Littlewood-Richardson coefficients.

Date: 2000
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DOI: 10.1007/978-3-662-04166-6_6

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