Representation Theory

Author(s): Viktor Ostrik
Journal: Represent. Theory 4 (2000), 296-305.
MSC (2000): Primary 20G05; Secondary 14L30
Posted: July 31, 2000
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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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