A NEW QUANTUM SUPERGROUP AND ITS GAUSS DECOMPOSITION

Çelik S., Celik S. A.

REPORTS ON MATHEMATICAL PHYSICS, cilt.88, sa.2, ss.259-269, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 88 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/s0034-4877(21)00073-2
  • Dergi Adı: REPORTS ON MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.259-269
  • Anahtar Kelimeler: quantum superspaces, Hopf superalgebra, Gauss decomposition, DEFORMATION
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.