On the equivariant 𝐾-theory of the nilpotent cone

Ostrik, Viktor

doi:10.1090/S1088-4165-00-00089-3

On the equivariant -theory of the nilpotent cone

Author: Viktor Ostrik
Journal: Represent. Theory 4 (2000), 296-305
MSC (2000): Primary 20G05; Secondary 14L30
DOI: https://doi.org/10.1090/S1088-4165-00-00089-3
Published electronically: July 31, 2000
MathSciNet review: 1773863
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Abstract:

In this note we construct a ``Kazhdan-Lusztig type'' basis in equivariant -theory of the nilpotent cone of a simple algebraic group . This basis conjecturally is very close to the basis of this -group consisting of irreducible bundles on nilpotent orbits. As a consequence we get a natural (conjectural) construction of Lusztig's bijection between dominant weights and pairs {nilpotent orbit $\mathcal O$ , irreducible -bundle on $\mathcal O$ }.

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