On the Equivariant K-theory of the Nilpotent Cone
نویسندگان
چکیده
In this note we construct a “Kazhdan-Lusztig type” basis in equivariant K-theory of the nilpotent cone of a simple algebraic group G. This basis conjecturally is very close to the basis of this K-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 O, irreducible G-bundle on O}.
منابع مشابه
Corrections To: “on the Equivariant K -theory of the Nilpotent Cone in the General Linear Group”
In the paper [P. Achar, On the equivariant K-theory of the nilpotent cone in the general linear group, Represent. Theory 8 (2004), 180–211], the author gave a combinatorial algorithm for computing the Lusztig–Vogan bijection for GL(n,C). However, that paper failed to mention one easy case that may sometimes arise, making the description of the algorithm incomplete. This note fills in that gap.
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