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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.
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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:
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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