Adjoint invariants of Frobenius kernels of GL(m) and elements of the center of Dist(GL(m))

Research output: Contribution to journalArticle

Abstract

The first goal of this article is to explicitly describe how to translate adjoint invariants K[Gr]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[Gr]G and to find algebra generators of K[G1]G in the case when G=GL(2).

Original languageEnglish (US)
Pages (from-to)5317-5337
Number of pages21
JournalCommunications in Algebra
Volume47
Issue number12
DOIs
StatePublished - Dec 2 2019

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Frobenius
kernel
Algebra
Invariant
General Linear Group
Generator

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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abstract = "The first goal of this article is to explicitly describe how to translate adjoint invariants K[Gr]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[Gr]G and to find algebra generators of K[G1]G in the case when G=GL(2).",
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Adjoint invariants of Frobenius kernels of GL(m) and elements of the center of Dist(GL(m)). / Marko, Frantisek.

In: Communications in Algebra, Vol. 47, No. 12, 02.12.2019, p. 5317-5337.

Research output: Contribution to journalArticle

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