arXiv Open Access 2001

Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone

Roman Bezrukavnikov

Lihat Sumber

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

math.RT math.AG

Penulis (1)

Roman Bezrukavnikov

Format Sitasi

APA MLA BibTeX

Bezrukavnikov, R. (2001). Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone. https://arxiv.org/abs/math/0102039

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓