Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone
Abstrak
In math.AG/0005152 a certain $t$-structure on the derived category of equivariant coherent sheaves on the nil-cone of a simple complex algebraic group was introduced (the so-called perverse $t$-structure corresponding to the middle perversity). In the present note we show that the same $t$-structure can be obtained from a natural quasi-exceptional set generating this derived category. As a consequence we obtain a bijection between the sets of dominant weights and pairs consisting of a nilpotent orbit, and an irreducible representation of the centralizer of this element, conjectured by Lusztig and Vogan (and obtained by other means in math.RT/0010089).
Topik & Kata Kunci
Penulis (1)
R. Bezrukavnikov
Akses Cepat
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Cek di sumber asli →- Tahun Terbit
- 2001
- Bahasa
- en
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- 83×
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- Semantic Scholar
- DOI
- 10.1090/S1088-4165-03-00158-4
- Akses
- Open Access ✓