منابع مشابه
On Graded Bialgebra Deformations
We introduce the graded bialgebra deformations, which explains Andruskiewitsch-Schneider’s liftings method. We also relate this graded bialgebra deformation with the corresponding graded bialgebra cohomology groups, which is the graded version of the one due to Gerstenhaber-Schack.
متن کاملBialgebra Cohomology, Pointed Hopf Algebras, and Deformations
We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism to be surjective. We apply these results to compute all bialgebra two-cocycles of certain Radford biproducts (bosonizations). These two-cocycles are precisely those associated to the finite dimensional pointed Hopf a...
متن کاملBialgebra deformations of certain universal enveloping algebras
Let A denote a bialgebra over a field k and let At = A[[t]] denote the ring of formal power series with coefficients in A. Assume that A is a free algebra over k with a basis of primitives. We give a simple construction which makes At a bialgebra deformation of A. Usually At is neither commutative nor cocommutative. This construction yields deformations of bialgebras associated with families of...
متن کاملA simple construction of bialgebra deformations∗
Let A denote a bialgebra over a field k and let At = A[[t]] denote the ring of formal power series with coefficients in A. Assume that A is also isomorphic to a free, associative algebra over k. We give a simple construction which makes At a bialgebra deformation of A. In typical applications, At is neither commutative nor cocommutative. This construction yields bialgebra deformations associate...
متن کاملOn Kontsevich's Formality Theorem
This paper is submitted as a dissertation for the degree of a Master of Science in Mathematics. It reviews the link between formal deformation quantizations and Poisson manifolds, which was conjectured in 1993. This link is a corollary of a more general statement called "Formality Theorem", proved by Maxim Kontsevich in 1997. supervised by Prof. John Jones
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2016
ISSN: 0240-2963,2258-7519
DOI: 10.5802/afst.1505