Investigation on the structural theory of elliptic quantum groups
by Yunhe Li
THESIS
2023
M.Phil. Mathematics
1 online resource (vii, 39 pages)
Abstract
In this thesis, we investigate a new type of elliptic quantum affine algebra Uq,p(sl̂2)
developed by Hitoshi Konno. We first provide detailed proofs for some important
properties listed on Konno's papers. We then compare it with Felder's elliptic
algebra Eτ,ƞ(sl2) and find some similar results on Konno's type. Finally we study
the degeneration limit of Uq,p(sl̂2) when q→1 by considering another elliptic
algbera Aq,p(sl̂2) and its degeneration limit Aħ,ƞ(sl̂2).
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