The Representation Theory of Co-triangular Semisimple Hopf Algebras
| dc.creator | Etingof, Pavel | |
| dc.creator | Gelaki, Shlomo | |
| dc.date | 1998-12-18 | |
| dc.date.accessioned | 2026-07-07T05:27:18Z | |
| dc.date.available | 2026-07-07T05:27:18Z | |
| dc.description | In a previous paper we prove that any semisimple triangular Hopf algebra A over an algebraically closed field of characteristic 0 (say the field of complex numbers C) is obtained from a finite group after twisting the ordinary comultiplication of its group algebra in the sense of Drinfeld; that is A=C[G]^J for some finite group G and a twist J\in C[G]\ot C[G]. In this paper we explicitly describe the representation theory of co-triangular semisimple Hopf algebras A^*=(C[G]^J)^* in terms of representations of some associated groups. As a corollary we prove that Kaplansky's 6th conjecture from 1975 holds for A^*; that is that the dimension of any irreducible representation of A^* divides the dimension of A. | |
| dc.description | 7 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/9812118 | |
| dc.identifier | http://arxiv.org/abs/math/9812118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77873 | |
| dc.subject | Quantum Algebra | |
| dc.title | The Representation Theory of Co-triangular Semisimple Hopf Algebras | |
| dc.type | text |