Tetramodules over the Hopf algebra of regular functions on a torus
Tanya Khovanova
TL;DR
This paper introduces tetramodules over the Hopf algebra of regular functions on a torus, exploring their properties and applications to quantum groups in a detailed algebraic framework.
Contribution
It provides the first formal definition of tetramodules over this specific Hopf algebra and investigates their structural properties and relevance to quantum group theory.
Findings
Defined tetramodules over the Hopf algebra of regular functions on a torus
Analyzed properties of tetramodules in the context of quantum groups
Discussed potential applications to quantum group theory
Abstract
Tetramodule is a vector space supplied with the bimodule and bicomodule structures over a Hopf algebra. The exact definition is given. Some properties and applications to quantum groups are discussed.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research