منابع مشابه
Universal Constructions for Hopf Algebras
The category of Hopf monoids over an arbitrary symmetric monoidal category as well as its subcategories of commutative and cocommutative objects respectively are studied, where attention is paid in particular to the following questions: (a) When are the canonical forgetful functors of these categories into the categories of monoids and comonoids respectively part of an adjunction? (b) When are ...
متن کاملCohomological Dimensions of Universal Cosovereign Hopf Algebras
We compute the Hochschild and Gerstenhaber-Schack cohomological dimensions of the universal cosovereign Hopf algebras, when the matrix of parameters is a generic asymmetry. Our main tools are considerations on the cohomologies of free product of Hopf algebras, and on the invariance of the cohomological dimensions under graded twisting by a finite abelian group.
متن کاملUniversal and Generalized Cartan Calculus on Hopf Algebras
We extend the universal differential calculus on an arbitrary Hopf algebra to a “universal Cartan calculus”. This is accomplished by introducing inner derivations and Lie derivatives which act on the elements of the universal differential envelope. A new algebra is formulated by incorporating these new objects into the universal differential calculus together with consistent commutation relatio...
متن کاملBaxter Algebras and Hopf Algebras
George E. Andrews Department of Mathematics Pennsylvania State University University Park, PA 16802, USA ([email protected]) Li Guo Department of Mathematics and Computer Science Rutgers University at Newark Newark, NJ 07102, USA ([email protected]) William Keigher Department of Mathematics and Computer Science Rutgers University at Newark Newark, NJ 07102, USA ([email protected]...
متن کاملBraided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras
Let (H, σ) be a coquasitriangular Hopf algebra, not necessarily finite dimensional. Following methods of Doi and Takeuchi, which parallel the constructions of Radford in the case of finite dimensional quasitriangular Hopf algebras, we define Hσ , a sub-Hopf algebra of H, the finite dual of H. Using the generalized quantum double construction and the theory of Hopf algebras with a projection, we...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2020
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-020-01207-0