Investigation on the structural theory of elliptic quantum groups

Abstract

In this thesis, we investigate a new type of elliptic quantum affine algebra U_q,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 E_τ,ƞ(sl₂) and find some similar results on Konno's type. Finally we study the degeneration limit of U_q,p(sl̂₂) when q→1 by considering another elliptic algbera A_q,p(sl̂₂) and its degeneration limit A_ħ,ƞ(sl̂₂).

Date of Award	2023
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology
Supervisor	Ivan Chi Ho IP (Supervisor)