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Author:

Xu, Yongjun (Xu, Yongjun.) | Chen, Jialei (Chen, Jialei.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we define a new type restricted quantum group Uq(sl*2) and determine its Hopf Poincar & eacute;-Birkhoff-Witt-deformations U-q(sl(2)(*), K) in which U-q(sl(2)(*), 0) = U-q(sl(2)(*)) and the classical restricted Drinfeld-Jimbo quantum group U-q(sl(2)(*)) is included. We show that U-q(sl(2)(*)) is a basic Hopf algebra, then uniformly realize U-q(sl(2)(*)) and U(q)sl(2)(*)) via some quotients of (deformed) preprojective algebras corresponding to the Gabriel quiver of U-q(sl(2)(*)). Moreover, we obtain a uniform tensor-categorical realization of U-q(sl(2)(*)) and U-q(sl(2)), which is consistent with the above-mentioned Hopf-algebraic realization.

Keyword:

Author Community:

  • [ 1 ] [Xu, Yongjun]Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
  • [ 2 ] [Chen, Jialei]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

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Source :

JOURNAL OF MATHEMATICAL PHYSICS

ISSN: 0022-2488

Year: 2023

Issue: 6

Volume: 64

1 . 3 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:17

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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