English

Hyperspherical equivariant slices and basic classical Lie superalgebras

Algebraic Geometry 2025-07-04 v2 Mathematical Physics math.MP Representation Theory Symplectic Geometry

Abstract

We classify all the hyperspherical equivariant slices of reductive groups. The classification is SS-dual to the one of basic classical Lie superalgebras.

Keywords

Cite

@article{arxiv.2211.16007,
  title  = {Hyperspherical equivariant slices and basic classical Lie superalgebras},
  author = {Michael Finkelberg and Ivan Ukraintsev},
  journal= {arXiv preprint arXiv:2211.16007},
  year   = {2025}
}

Comments

v2: Table 1, Lemma 2.1.6, Theorem 2.1.8, Remark 2.1.9 added. The final published version

R2 v1 2026-06-28T07:16:24.383Z