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Book
2011, Fields Institute communications, ISBN 0821848496, viii, 163
Book
2017, Mathematical surveys and monographs, ISBN 9781470434823, Volume 217, 2 volumes
Book
Communications in algebra, ISSN 0092-7872, 01/2018, Volume 46, Issue 1, pp. 1 - 27
The Larson-Sweedler theorem says that a finite-dimensional bialgebra with a faithful integral is a Hopf algebra [ 15 ]. The result has been generalized to... 
The Larson-Sweedler theorem | Hopf algebras | weak Hopf algebras | multiplier Hopf algebras | Physical Sciences | Mathematics | Science & Technology | Operators (mathematics) | Theorems | Algebra | Integrals
Journal Article
Communications in algebra, ISSN 0092-7872, 11/2019, Volume 47, Issue 11, pp. 4476 - 4495
In 1999, Kashina introduced the exponent of a Hopf algebra. In this article, we prove that the exponent of a finite-dimensional non-cosemisimple Hopf algebra... 
Exponent of Hopf algebras | simple coalgebras | Hopf algebras | Physical Sciences | Mathematics | Science & Technology | Algebra
Journal Article
02/2019, Encyclopedia of mathematics and its applications, ISBN 1108427014, Volume 171, 546
This is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras. Ideal for graduate students and researchers in mathematics and mathematical... 
Hopf algebras | Tensor products | Tensor algebra
eBook
2001, Monographs and textbooks in pure and applied mathematics, ISBN 0824704819, Volume 235, ix, 401
Book
Journal of algebra, ISSN 0021-8693, 04/2018, Volume 500, pp. 569 - 588
In this short note we show that representation and character varieties of discrete groups can be viewed as tensor products of suitable functors over the PROP... 
Character varieties | Hopf algebras | Tensor products
Journal Article
Journal of algebra, ISSN 0021-8693, 11/1998, Volume 209, Issue 2, pp. 658 - 691
Journal Article
03/2020, ISBN 110849580X, 854
The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the... 
Incidence algebras
eBook
2002, Lecture notes in mathematics, ISBN 3540437991, Volume 1789, 157
Book
Symmetry, integrability and geometry, methods and applications, ISSN 1815-0659, 2018, Volume 14
We apply categorical machinery to the problem of defining anti-Yetter-Drinfeld modules for quasi-Hopf algebras. While a definition of Yetter-Drinfeld modules... 
Cyclic homology | Monoidal category | Quasi-hopf algebras | Hopf algebras | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Modules | Algebra
Journal Article
Journal of pure and applied algebra, ISSN 0022-4049, 10/2019, Volume 223, Issue 10, pp. 4171 - 4190
We prove that the category of cocommutative Hopf algebras over a field is a semi-abelian category. This result extends a previous special case of it, based on... 
Categorical commutator | Semi-abelian categories | Crossed modules | Cocommutative Hopf algebras | Internal groupoids | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algebra
Journal Article
Journal of algebra, ISSN 0021-8693, 03/2015, Volume 426, pp. 92 - 136
For a Poisson algebra A, by exploring its relation with Lie–Rinehart algebras, we prove a Poincaré–Birkhoff–Witt theorem for its universal enveloping algebra... 
Universal enveloping algebras | Poisson Hopf algebras | Hopf algebras | Lie–Rinehart algebras | Lie-Rinehart algebras | Physical Sciences | Mathematics | Science & Technology | Algebra
Journal Article
1995, Graduate texts in mathematics, ISBN 9780387943701, Volume 155, xii, 531
Book
Quaestiones mathematicae, ISSN 1607-3606, 10/2015, Volume 38, Issue 5, pp. 683 - 708
The category Hopf R of Hopf algebras over a commutative unital ring R is analyzed with respect to its categorical properties. The main results are: (1) For... 
bialgebras | Hopf envelope | universal measuring coalgebra | cofree Hopf algebras | free Hopf algebras | Secondary 18D10 | colimits | Primary 16T05 | Hopf algebras | limits
Journal Article
2005, ISBN 1860945791
Book
Applied categorical structures, ISSN 0927-2852, 2/2019, Volume 27, Issue 1, pp. 85 - 109
We apply categorical machinery to the problem of defining cyclic cohomology with coefficients in two particular cases, namely quasi-Hopf algebras and Hopf... 
Monoidal categories | Hopf algebroids | Mathematics | Theory of Computation | 18E05 | Geometry | 18D10 | 19D55 | Quasi-Hopf algebras | Contramodules | Convex and Discrete Geometry | Cyclic homology | 16T05 | Hopf algebras | Mathematical Logic and Foundations | Physical Sciences | Science & Technology
Journal Article
1992, Algebra Berichte, ISBN 9783889271006, Volume Nr. 66, 57
Book
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