Sheets, slice induction and G2(2) case
Representation Theory
2015-02-27 v2 Algebraic Geometry
Abstract
In this paper, we study sheets of symmetric Lie algebras through their Slodowy slices. In particular, we introduce a notion of slice induction of nilpotent orbits which coincides with the parabolic induction in the Lie algebra case. We also study in more details the sheets of the non-trivial symmetric Lie algebra of type G2. We characterize their singular loci and provide a nice desingularisation lying in so7.
Keywords
Cite
@article{arxiv.1407.1010,
title = {Sheets, slice induction and G2(2) case},
author = {Michael Bulois and Pascal Hivert},
journal= {arXiv preprint arXiv:1407.1010},
year = {2015}
}
Comments
22 pages. In this new version, computations of section 4 are pared down. Important modifications of the exposition of Section 3 on slice induction