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

František Marko

doi:10.1080/00927872.2019.1617877

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

František Marko

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The first goal of this article is to explicitly describe how to translate adjoint invariants K[G_r]^G of the Frobenius kernel G_r of the general linear group G=GL(m) to elements of the center of the distribution algebra of G_r. The second goal is to provide a characterization of K[G_r]^G and to find algebra generators of K[G₁]^G in the case when G=GL(2).

Original language	English (US)
Pages (from-to)	5317-5337
Number of pages	21
Journal	Communications in Algebra
Volume	47
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2019.1617877
State	Published - Dec 2 2019

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2019.1617877

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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))

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