On the quasitriangular structures of a semisimple Hopf algebra
โ Scribed by David E Radford
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 238 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
Let X s GM be a finite group factorisation. It is shown that the quantum ลฝ . ## ลฝ . double D H of the associated bicrossproduct Hopf algebra This provides a class of bicrossproduct Hopf algebras which are quasitriangular. We also construct a subgroup Y X associated to every order-reversing automo
We show that if A is a semisimple Hopf algebra of dimension pq 2 over an algebraically closed field k of characteristic zero, then under certain restrictions either A or A \* must have a non-trivial central group-like element. We then classify all semisimple Hopf algebras of dimension pq 2 over k wh
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We consider an indefinite inner product on the algebra of rational functions over the complex numbers, and we obtain a coproduct, which is dual of the usual multiplication, that gives a structure of infinitesimal coalgebra on the rational functions. We also obtain a representation of the finite dual