GAUSS DECOMPOSITION AND NONSTANDARD DEFORMATION OF GL(1|1)

ÇELİK S.

Reports on Mathematical Physics, vol.91, no.1, pp.45-55, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1016/s0034-4877(23)00010-1
  • Journal Name: Reports on Mathematical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.45-55
  • Keywords: Gauss decomposition, Hopf superalgebra, nonstandard quantum supergroup, nonstandard quantum superspace, standard quantum superspace
  • Yıldız Technical University Affiliated: Yes

Abstract

We present the standard and nonstandard one-parameter deformations of two supergroups, one of which is the lower and the other upper triangular matrices, and using these we show that the two-parameter nonstandard deformation of the supergroup GL(1|1) can be achieved.