General twisting of algebras
| Autor: | Florin Panaite, Javier López Peña, Freddy Van Oystaeyen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
Mathematics(all)
Pure mathematics Differential form General Mathematics Twisted tensor product of algebras Braided monoidal category Twistor theory Morphism Mathematics::Quantum Algebra Mathematics::Category Theory Mathematics - Quantum Algebra FOS: Mathematics Twisted bialgebras Quantum Algebra (math.QA) Axiom Mathematics Fedosov product Monoidal category Differential calculus Mathematics - Rings and Algebras Algebra Tensor product Rings and Algebras (math.RA) Mathematics::Differential Geometry |
| Zdroj: | Advances in mathematics |
| ISSN: | 0001-8708 |
| Popis: | We introduce the concept of pseudotwistor (with particular cases called twistor and braided twistor) for an algebra $(A, \mu, u)$ in a monoidal category, as a morphism $T:A\otimes A\to A\otimes A$ satisfying a list of axioms ensuring that $(A, \mu \circ T, u)$ is also an algebra in the category. This concept provides a unifying framework for various deformed (or twisted) algebras from the literature, such as twisted tensor products of algebras, twisted bialgebras and algebras endowed with Fedosov products. Pseudotwistors appear also in other topics from the literature, e.g. Durdevich's braided quantum groups and ribbon algebras. We also focus on the effect of twistors on the universal first order differential calculus, as well as on lifting twistors to braided twistors on the algebra of universal differential forms. Comment: 19 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect