Quantum Lie algebras via modified Reflection Equation Algebra
D. I. Gurevich, P. A. Saponov
TL;DR
This paper examines the foundational axioms of quantum Lie algebras, analyzing their consistency to clarify the mathematical structure and potential applications of these algebraic objects.
Contribution
It provides a critical analysis of the axiomatic framework underlying quantum Lie algebras, highlighting issues and proposing modifications for consistency.
Findings
Identifies inconsistencies in standard axioms
Proposes modifications to axiomatic definitions
Clarifies the structure of quantum Lie algebras
Abstract
We discuss the consistency of the axioms which the definition of quantum Lie algebras is usually based on.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons