On the braided Fock spaces
Alexei Mishchenko (Bogolyubov Institute for Theoretical Physics)
TL;DR
This paper introduces a framework for constructing Fock spaces linked to solutions of the quantum Yang-Baxter equation and infinite dimensional Hecke algebras, including a quantum deformed oscillator algebra.
Contribution
It presents a novel framework for Fock space construction related to quantum Yang-Baxter solutions and Hecke algebras, including explicit algebraic structures.
Findings
Constructed Fock spaces associated with quantum Yang-Baxter solutions
Derived the quantum deformed oscillator algebra
Established connections with infinite dimensional Hecke algebra
Abstract
Framework for constructing Fock spaces associated either with certain solutions of the quantum Yang-Baxter equation or with infinite dimensional Hecke algebra is presented. For the former case, the quantum deformed oscillator algebra associated with the solution of the quantum Yang-Baxter equation is found.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research