Solvable and Unipotent Supergroups

A. N. Zubkov, P. A. Ulyashev

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

It is proved that an algebraic supergroup G is unipotent iff Gev is unipotent. Here our reasoning involves only induction on dimension and some properties of the adjoint representation. In a similar way, it is shown that over a field of characteristic zero, a connected supergroup G is solvable iff Gev is solvable.

Original languageEnglish
Pages (from-to)206-216
Number of pages11
JournalAlgebra and Logic
Volume53
Issue number3
DOIs
Publication statusPublished - Jul 2014
Externally publishedYes

Keywords

  • adjoint representation
  • algebraic supergroup
  • connected supergroup
  • solvable supergroup
  • unipotent supergroup

ASJC Scopus subject areas

  • Analysis
  • Logic

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