Separating G2-invariants of several octonions

Artem Lopatin; Alexandr N. Zubkov

doi:10.2140/ant.2024.18.2157

Separating G₂-invariants of several octonions

Artem Lopatin
, Alexandr N. Zubkov

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

We describe separating G₂-invariants of several copies of the algebra of octonions over an algebraically closed field of characteristic two. We also obtain a minimal separating and a minimal generating set for G₂-invariants of several copies of the algebra of octonions in case of a field of odd characteristic.

Original language	English
Pages (from-to)	2157-2177
Number of pages	21
Journal	Algebra and Number Theory
Volume	18
Issue number	12
DOIs	https://doi.org/10.2140/ant.2024.18.2157
Publication status	Published - 2024

Keywords

exceptional groups
generating set
matrix invariants
polynomial invariants
positive characteristic
separating set

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.2140/ant.2024.18.2157

Cite this

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KW - matrix invariants

KW - polynomial invariants

KW - positive characteristic

KW - separating set

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