Equivariant Coherent Sheaves on the Nilpotent Cone in the General Linear Group
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Multiplicity Formulas for Perverse Coherent Sheaves on the Nilpotent Cone
Arinkin and Bezrukavnikov have given the construction of the category of equivariant perverse coherent sheaves on the nilpotent cone of a complex reductive algebraic group. Bezrukavnikov has shown that this category is in fact weakly quasi-hereditary with Andersen–Jantzen sheaves playing a role analogous to that of Verma modules in category O for a semi-simple Lie algebra. Our goal is to show t...
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متن کاملCorrections 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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تاریخ انتشار 2007