Lie Algebras in Fock Space
Alexander Turbiner
TL;DR
This paper provides a comprehensive catalog of explicit realizations of (super) Lie algebra and quantum algebra representations within Fock space, facilitating their application in mathematical physics.
Contribution
It introduces new explicit realizations of (super) Lie and quantum algebra representations in Fock space, expanding the toolkit for theoretical and mathematical physics.
Findings
Catalog of explicit realizations of (super) Lie algebra representations
Includes quantum algebra representations in Fock space
Facilitates applications in mathematical physics
Abstract
A catalogue of explicit realizations of representations of (super) Lie algebras and quantum algebras in Fock space is presented.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research