REPORTS ON MATHEMATICAL PHYSICS, vol.88, no.2, pp.259-269, 2021 (SCI-Expanded)
Article / Article
REPORTS ON MATHEMATICAL PHYSICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
quantum superspaces, Hopf superalgebra, Gauss decomposition, DEFORMATION
Yıldız Technical University Affiliated:
We get a new quantum supergroup (Hopf superalgebra), denoted by GL(q) (211), by using the standard method (the RU-relation) with an R-matrix which is a solution of the quantum Yang- Baxter equation. We give the Gauss decomposition of a matrix in GL(q) (211) and considering the three matrices in the decomposition in pairs, we show that two superalgebras formed by matrix elements of these matrices are Hopf superalgebras.