Hopf Algebras
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On the Structure of Hopf Algebras
On the Structure of Hopf Algebras. By JOHN W. MILNOR and JOHN C. MOORE*. The notion of Hopf algebra' has been abstracted from the work of Hopf. |
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A primer of Hopf algebras
Here Hopf algebras play a dual role: first the (left) invariant differ- ential operators on an algebraic group form a cocommutative Hopf algebra which |
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Multiplier Hopf Algebras
MULTIPLIER HOPF ALGEBRAS. A. VAN DAELE. ABSTRACT. In this paper we generalize the notion of Hopf algebra. We consider an algebra A with or without identity |
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An Associative Orthogonal Bilinear Form for Hopf Algebras
FOR HOPF ALGEBRAS. By RICHARD GUSTAVUS LARSON * and Moss EISENBERG SWEEDLER. It is well-known that certain Hopf algebras contain non zero elements. |
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Introduction to Hopf algebras and representations
3 Algebras coalgebras |
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Semisimple Cosemisimple Hopf Algebras
Kaplansky has conjec- tured [1]: A finite-dimensional cosemisimple Hopf algebra is involutory. In this paper we show that if the characteristic of the ground |
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Hopf Algebras of Low Dimension
dimensional Hopf algebras. The key step of our approach will be the following. THEOREM 2.8. Let A be a Hopf algebra of dimension _< 11 that is not. |
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Integrals for Hopf Algebras
Integrals for Hopf algebras*. By Moss EISENBERG SWEEDLER. Introduction. For a Hopf algebra which is the "coordinate" ring of a compact Lie group. |
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A Very Basic Introduction to Hopf Algebras
There are many examples of familiar combinatorial objects which can be given the structure of a. Hopf algebra we look at a few simple examples at the end of |
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HOPF ALGEBRAS 1. Algebras and coalgebras 1.1. Algebras. We
A morphism of bialgebras f : A ? B is a linear map which is both an algebra and a coalgebra homomorphism. Page 4. 4. HOPF ALGEBRAS. 2.2. Test Lemmas. Lemma |
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A primer of Hopf algebras - IHES
Here Hopf algebras play a dual role: first the (left) invariant differ- ential operators on an algebraic group form a cocommutative Hopf algebra, which coincides |
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A primer of Hopf algebras - OSU Math
tween Hopf algebras and Lie groups (or algebraic groups) We emphasize ential operators on an algebraic group form a cocommutative Hopf algebra, |
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LECTURES ON HOPF ALGEBRAS HANS-J¨URGEN - FaMAF
In particular, in the last part of the course I gave a complete proof from scratch of Zhou's theorem (1994): Any finite- dimensional Hopf algebra over the complex |
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THE BEGINNINGS OF THE THEORY OF HOPF ALGEBRAS 1
The second is cen- tered around those aspects of algebraic topology that played an important role in the development of Hopf algebra theory We organized our |
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Characters of Hopf Algebras* - CORE
In order to include a character theory for infinite dimensional Hopf algebras, we must consider characters as elements of the Hopf algebra which are associated |
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Hopf Algebras and Derivations - CORE
Let A be a connected Hopf algebra of finite type over a field k Then it is proved in Andre [I] that A* = UL, the universal enveloping algebra of a Lie algebra L, if |
![Contemporary Mathematics] Hopf Algebras and Tensor Categories](https://upload.wikimedia.org/wikipedia/commons/thumb/4/45/Hopf_algebra.svg/250px-Hopf_algebra.svg.png "Contemporary Mathematics] Hopf Algebras and Tensor Categories")
