h-Deformation of GL(1?1)

1995/11/30 by Ludwik Dabrowski, Ludwik Dąbrowski, Preeti Parashar · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA #q-alg

paper · pdf · doi:10.1007/bf00398357

latex file, 8 pages, minor changes

arxiv created 1995/12/17 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

h-deformation of (graded) Hopf algebra of functions on supergroup GL(1|1) is introduced via a contration of GL_q (1|1). The deformation parameter h is odd (grassmann). Related differential calculus on h-superplane is presented.

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• Properties of 2 × 2 h-Deformed Quantum (Super)Matrices