Quasi-Hopf algebras associated with semisimple Lie algebras and complex curves
B. Enriquez
TL;DR
This paper constructs quasi-Hopf algebras linked to semisimple Lie algebras, complex curves, and rational differentials, extending prior work in the field.
Contribution
It introduces a new class of quasi-Hopf algebras associated with geometric and algebraic data, generalizing previous constructions.
Findings
New quasi-Hopf algebra structures related to Lie algebras and complex curves
Extension of previous algebraic frameworks to more general settings
Potential applications in mathematical physics and representation theory
Abstract
We construct quasi-Hopf algebras associated with a semisimple Lie algebra, a complex curve and a rational differential. This generalizes our previous joint work with V. Rubtsov (Israel J. Math. (1999) and q-alg/9608005).
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons