FINITE DIMENSIONAL QUASI-HOPF ALGEBRAS WITH RADICAL OF CODIMENSION 2 (2003)
by
Pavel Etingof
,
Shlomo Gelaki
| Citations: | 2 - 0 self |
BibTeX
@MISC{Etingof03finitedimensional,
author = {Pavel Etingof and Shlomo Gelaki},
title = {FINITE DIMENSIONAL QUASI-HOPF ALGEBRAS WITH RADICAL OF CODIMENSION 2},
year = {2003}
}
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Abstract
It is shown in [EO], Proposition 2.17, that a finite dimensional quasi-Hopf algebra with radical of codimension 1 is semisimple and 1-dimensional. On the other hand, there exist quasi-Hopf (in fact, Hopf) algebras, whose radical has codimension 2. Namely, it is known [N] that these are exactly the Nichols Hopf algebras H2n of
Citations
| 141 | Hopf Algebras - Sweedler - 1969 |
| 59 | Bialgebras of type one - Nichols - 1978 |
| 46 | Pointed Hopf algebras, New directions in Hopf algebras - Andruskiewitsch, Schneider |
| 20 | Tensor categories with fusion rules of self-duality for finite abelian groups, J. Algebra 209 - Tambara, Yamagami - 1998 |
| 19 | Quasi-Hopf algebras. (Russian) Algebra i Analiz 1 - Drinfeld - 1989 |
| 6 | On Vafa’s theorem for tensor categories - Etingof |
| 5 | Finite tensor categories, submitted - Etingof, Ostrik |
| 2 | On fusion categories, submitted - Etingof, Nikshych, et al. |
