The Character Tables of Centralizers in Weyl Groups
نویسندگان
چکیده
To classify the finite dimensional pointed Hopf algebras with Weyl group G of E6, E7, F4, G2, we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. 2000 Mathematics Subject Classification: 16W30, 68M07 keywords: GAP, Hopf algebra, Weyl group, character.
منابع مشابه
The Character Tables of Centralizers in Weyl Groups of E8 I
This article is to contribute to the classification of finite-dimensional complex pointed Hopf algebras with Weyl groups of E8. Many papers are about the classification of finite dimensional pointed Hopf algebras, for example, [AS98, AS02, AS00, AS05, He06, AHS08, AG03, AFZ, AZ07, Gr00, Fa07, AF06, AF07, ZZC, ZC]. In these research ones need the centralizers and character tables of groups. In t...
متن کاملThe Character Tables of Weyl Groups
To classify the finite dimensional pointed Hopf algebras with Weyl group G of E6, E7, F4, G2, we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. 2000 Mathematics Subject Classification: 16W30, 68M07 keywords: GAP, Hopf algebra, Weyl group, character.
متن کامل0 0 2 1 − 2 − 1 1 0 1 1 − 1 − 1 0 0 0 1 − 1
This article is to contribute to the classification of finite-dimensional complex pointed Hopf algebras with Weyl groups of E6, E7, F4, G2. Many papers are about the classification of finite dimensional pointed Hopf algebras, for example, [AS98, AS02, AS00, AS05, He06, AHS08, AG03, AFZ, AZ07, Gr00, Fa07, AF06, AF07, ZZC, ZC]. In these research ones need the centralizers and character tables of ...
متن کاملThe Character Tables of Centralizers in Weyl Group of E8 Ii
To classify the finite dimensional pointed Hopf algebras with Weyl group G of E8, we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. In this paper we only list character table 29–46. 2000 Mathematics Subject Classification: 16W30, 68M07 keywords: GAP, Hopf algebra, Weyl group, character. 0. Introduc...
متن کاملThe Character Tables of Centralizers in Weyl Group of E8 Iii
To classify the finite dimensional pointed Hopf algebras with Weyl group G of E8, we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. In this paper we only list character table 47–64. 2000 Mathematics Subject Classification: 16W30, 68M07 keywords: GAP, Hopf algebra, Weyl group, character. 0. Introduc...
متن کامل