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Author:

Chen, Xuekun (Chen, Xuekun.) | Yang, Shilin (Yang, Shilin.)

Indexed by:

Scopus SCIE

Abstract:

We first construct algebra automorphisms T-i (1 <= i <= r) of Z(2)-graded Hopf algebra U-q(osp(1 vertical bar 2r)), which are called Lusztig's symmetries. It is shown that they satisfy braid group relations. The algebraic automorphisms of U-q(osp(1 vertical bar 2r)) are also described.

Keyword:

Hopf superalgebra Lusztig symmetry braid group relation

Author Community:

  • [ 1 ] [Chen, Xuekun]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Yang, Shilin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Chen, Xuekun]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Email:

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Source :

JOURNAL OF ALGEBRA AND ITS APPLICATIONS

ISSN: 0219-4988

Year: 2010

Issue: 5

Volume: 9

Page: 725-762

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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