Abstract
The two-parametric quantum deformation of the algebra of coordinate functions on the (dual) supergroup Gr(1|1) via a contraction of Grp,q(1|1) is presented. Although the quantum superdeterminant of any element of Grp,q(1|1) is not central, in the two parametric Jordanian deformation of Gr(1|1) the quantum superdeterminant belongs to the center. The Hopf algebra structure of Grh1,h2(1|1) is discussed.
Keywords
Supergroup
Quantum
Hopf algebra
Mathematics
Deformation (meteorology)
Parametric statistics
Quantum group
Quantum affine algebra
Physics
Pure mathematics
Algebra over a field
Mathematical physics
Quantum mechanics
Algebra representation
Cellular algebra
Subject Areas
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Operator Algebra Research
·Mathematical Physics ·Physical Sciences
Loading…