Adjoint invariants of Frobenius kernels of GL(m) and elements of the center of Dist(GL(m)). Issue 12 (2nd December 2019)

• Record Type: Journal Article
• Authors: Marko, František
• Is Part Of: Communications in algebra. Volume 47:Issue 12(2019)
• Page Start: 5317
• Page End: 5337
• Publication Date: 2019-12-02
• Subjects: Adjoint invariants -- Frobenius kernel -- general linear group -- center of distribution algebra -- Harish-Chandra morphism; 20G05 (primary) -- 13A50 -- 15A72 -- 22E47 (secondary); Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2019.1617877
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: The first goal of this article is to explicitly describe how to translate adjoint invariants K [ G r ] G of the Frobenius kernel Gr of the general linear group G = GL ( m ) to elements of the center of the distribution algebra of Gr . The second goal is to provide a characterization of K [ G r ] G and to find algebra generators of K [ G 1 ] G in the case when G = GL ( 2 ) .