h-deformation of GL(1|1)

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.

latex file, 8 pages, minor changes

Cited by in corpus (10)

• Noncommutative Geometry of Super-Jordanian $OS{p}_h(2/1)$ Covariant Quantum Space
• Classification of the quantum deformation of the superalgebra $GL(1|1)$
• Contraction of the G_r,s Quantum Group to its Nonstandard analogue and corresponding Coloured Quantum Groups
• The Hopf algebra structure of the Z${}_3$-graded quantum supergroup GL${}_{q,j}(1|1)$
• Two-parameter differential calculus on the h-superplane
• On $q$- and $h$-deformations of 3d-superspace
• Nonstandard Poincare and Heisenberg Algebras
• Differential geometry of GL${}_h(1|1)$
• Realisations of Quantum GL_p,q(2) and Jordanian GL_h,h'(2)
• Properties of $2\times 2$ h-deformed quantum (super)matrices