Super Star Products and Quantum Superalgebras
Mostafa Mansour
TL;DR
This paper demonstrates that super star products on Poisson Lie supergroups induce quantum superalgebra structures, establishing an equivalence between different super star products and their resulting quantum superalgebras.
Contribution
It proves that super star products produce quantum superalgebras and that equivalent super star products generate isomorphic quantum superalgebras.
Findings
Super star products induce quantum superalgebra structures.
Equivalent super star products lead to isomorphic quantum superalgebras.
The work connects Poisson Lie supergroups with quantum superalgebra theory.
Abstract
We prove that the super star product on a Poisson Lie supergroup leads to the structure of quantum superalgebra (triangular Hopf superalgebra) on the super quantized enveloping algebra of the Lie superalgebra of the Lie supergroup and that equivalents super star products generate isomorphic quantum superalgebras.
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