6533b823fe1ef96bd127e065

RESEARCH PRODUCT

Cohomology and associated deformations for not necessarily co-associative bialgebras

Philippe Bonneau

subject

Mathematics::Rings and AlgebrasComplex systemStatistical and Nonlinear PhysicsDeformation (meteorology)Mathematics::Algebraic TopologyCohomologyAlgebraMathematics::K-Theory and HomologyMathematics::Category TheoryMathematics::Quantum AlgebraEquivariant cohomologyAlgebra over a fieldMathematical PhysicsAssociative propertyMathematics

description

In this Letter, a cohomology and an associated theory of deformations for (not necessarily co-associative) bialgebras are studied. The cohomology was introduced in a previous paper (Lett. Math. Phys.25, 75–84 (1992)). This theory has several advantages, especially in calculating cohomology spaces and in its adaptability to deformations of quasi-co-associative (qca) bialgebras and even quasi-triangular qca bialgebras.

yearjournalcountryeditionlanguage
1992-12-01Letters in Mathematical Physics
https://doi.org/10.1007/bf00420237