✦ LIBER ✦

Modular Categories and Hopf Algebras

✍ Scribed by Mitsuhiro Takeuchi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 96 KB
Volume: 243
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8856

No coin nor oath required. For personal study only.

✦ Synopsis

The modularity of a ribbon Hopf algebra is characterized by the Drinfeld map.

Ž An elementary approach to Etingof and Gelaki's 1998, Math. Res. Lett. 5, . 119᎐197 result on the dimensions of irreducible modules is given by deducing the Ž . necessary identities involving the matrix S from the well-known orthogonal i j relations of Hopf algebra characters.

📜 SIMILAR VOLUMES

Twisted Hopf Algebras, Ringel–Hall Algeb

Twisted Hopf Algebras, Ringel–Hall Algebras, and Green's Categories: With an appendix by the referee

✍ Libin Li; Pu Zhang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 215 KB

The concept and some basic properties of a twisted Hopf algebra are introduced and investigated. Its unique difference from a Hopf algebra is that the comultiplication ␦ : A ª A m A is an algebra homomorphism, not for the componentwise multiplication on A m A, but for the twisted multiplication on A

Hopf Algebras of Orderp2and Braided Hopf

Hopf Algebras of Orderp2and Braided Hopf Algebras of Orderp

✍ Nicolás Andruskiewitsch; Hans-Jürgen Schneider 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 273 KB

Hopf Algebras, Lie Algebras, and Analyti

Hopf Algebras, Lie Algebras, and Analytic Groups

✍ P.B. Chen; T.S. Wu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 198 KB

Jordan Pairs and Hopf Algebras

✍ John R Faulkner 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 273 KB

A quadratic Jordan pair is constructed from a ‫-ޚ‬graded Hopf algebra having divided power sequences over all primitive elements and with three terms in the ‫-ޚ‬grading of the primitive elements. The notion of a divided power representation of a Jordan pair is introduced and the universal object is

A Duality for Modules over Monoidal Cate

A Duality for Modules over Monoidal Categories of Representations of Semisimple Hopf Algebras

✍ D Tambara 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 285 KB

For a finite dimensional semisimple cosemisimple Hopf algebra A and its dual Hopf algebra B, we set up a natural one-to-one correspondence between categories with actions of the monoidal categories of representations of A and of B. This gives a categorical interpretation of the duality for actions o

Frobenius Extensions and Weak Hopf Algeb

Frobenius Extensions and Weak Hopf Algebras

✍ Lars Kadison; Dmitri Nikshych 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 211 KB

We study a symmetric Markov extension of k-algebras N → M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases with a separability property. We place a depth two condition on this extension, which is essentially the requirement that th