Semantic Scholar Open Access 2006 5 sitasi

An exotic Springer correspondence for symplectic groups

Syu Kato

Lihat Sumber

Abstrak

This paper is a sequel to math.RT/0601155. Let G be a complex symplectic group. In math.RT/0601155, we constructed a certain G-variety N = N_1, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for the Weyl group of type C, but shares a similar flavor with that of type A case. (I.e. there appears no non-trivial local system and the correspondence is bijective.) As an application, we present one sufficient condition for the bijectivity of our exotic Deligne-Langlands correspondence [K1].

Topik & Kata Kunci

Mathematics

Penulis (1)

Syu Kato

Format Sitasi

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Kato, S. (2006). An exotic Springer correspondence for symplectic groups. https://www.semanticscholar.org/paper/0f3d3e6cb63e0e33a495f8c9703d547b870353f8

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Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Total Sitasi: 5×
Sumber Database: Semantic Scholar
Akses: Open Access ✓