Invariant Jacobians for irreducible restricted sl2 action. Issue 9 (2nd September 2019)

• Record Type: Journal Article
• Authors: Chen, Xiaoyu
• Is Part Of: Communications in algebra. Volume 47:Issue 9(2019)
• Page Start: 3490
• Page End: 3499
• Publication Date: 2019-09-02
• Subjects: Algebraic group -- Frobenius kernel -- invariant Jacobian; 20G05; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2019.1567744
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: The problem of invariant Jacobians stems from the study of isolated singularities in complex geometry. In this paper, we deal with analogous problem of invariant Jacobians proposed by Stephen Yau in the case of prime characteristic. We give a complete classification of (infinitesimal version) invariant Jacobians for an irreducible action of the restricted Lie algebra s l 2 . In particular, unlike the characteristic 0 case, the invariant Jacobians for irreducible actions may not be irreducible. We hope that it will be useful for the study of singularities in positive characteristic.