Quantum Clifford Algebras
T. Brzezinski, L.C. Papaloucas, J. Rembielinski
TL;DR
This paper introduces a quantum deformation of real Clifford algebras with multiple parameters and explores their irreducible representations, expanding the mathematical framework of quantum algebra.
Contribution
It presents a novel quantum multiparameter deformation of real Clifford algebras and determines their irreducible representations.
Findings
Defined new quantum Clifford algebras with multiple parameters
Derived irreducible representations of the deformed algebras
Extended classical Clifford algebra theory into quantum domain
Abstract
Quantum multiparameter deformation of real Clifford algebras is proposed. The corresponding irreducible representations are found.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced NMR Techniques and Applications · Advanced Algebra and Geometry