Differential geometry of GL(p,q)(1 vertical bar 1)

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ÇELİK S.

JOURNAL OF MATHEMATICAL PHYSICS, vol.41, no.10, pp.6976-6994, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 10
  • Publication Date: 2000
  • Doi Number: 10.1063/1.1285032
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6976-6994
  • Yıldız Technical University Affiliated: Yes

Abstract

We introduce a construction of the differential calculus on the quantum supergroup GL(p,q)(1 parallel to 1). We obtain two differential calculi, respectively, associated with the left and the right Cartan-Maurer one-forms. We also obtain the quantum superalgebra of GL(p,q)(1 parallel to 1). Although all of the structures we obtain are derived without an R matrix, they nevertheless can be expressed using an R matrix. (C) 2000 American Institute of Physics. [S0022-2488(99)04910-5].