Quantum double of Heisenberg-Weyl algebra, its universal R-matrix and their representations
Chang-Pu Sun, Mo-Lin Ge
TL;DR
This paper introduces a new quantum double of the Heisenberg-Weyl algebra, constructs its universal R-matrix, and explores its representation theory with explicit examples, advancing the understanding of quantum algebra structures.
Contribution
It presents the first construction of a quantum double of the Heisenberg-Weyl algebra along with its universal R-matrix and detailed representation theory.
Findings
Explicit universal R-matrix constructed
Representation theory of the quantum double developed
New algebraic structures identified and analyzed
Abstract
In this paper a new quasi-triangular Hopf algebra as the quantum double of the Heisenberg-Weyl algebra is presented.Its universal R-matrix is built and the corresponding representation theory are studied with the explict construction for the representations of this quantum double. \newpage
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons