Quantizations of the extended affine Lie algebra \widetilde\fraksl₂(ℂ_q)

2011/11/21 by Ying Xu, Junbo Li, Xu, Ying +1
Mathematics · #17B05 #17B37 #17B62 #17B67 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B05 #msc:17B37 #msc:17B62 #msc:17B67

paper · pdf · doi:10.48550/arxiv.1111.4791

25 pages

arxiv created 2011/11/21 · arxiv updated 2011/11/22

Abstract

The extended affine Lie algebra \widetilde\fraksl₂(ℂ_q) is quantized from three different points of view in this paper, which produces three noncommutative and noncocommutative Hopf algebra structures, and yield other three quantizations by an isomorphism of \widetilde\fraksl₂(ℂ_q) correspondingly. Moreover, two of these quantizations can be restricted to the extended affine Lie algebra sl₂(ℂ_q).

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