The Equitable Presentation for the Extended Quantum Algebra Uq(f(K, J))
Lixia Ye *
Department of Mathematics, Zhejiang International Studies University, Hangzhou 310012, P.R. China.
Xuefeng Mei
Department of Mathematics, Zhejiang International Studies University, Hangzhou 310012, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
Let Uq(f(K, J)) be an extended quantum enveloping algebra associated to sl2. In this paper, we display an equitable presentation for Uq(f(K, J)), in which all generators appear on a more equal footing. We also show that the equitable generators Y and Z are not invertible. Moreover, we give a presentation for the positive even subalgebra of Uq(f(K, J)) by generators and relations.
Keywords: Extended quantum algebra, Equitable presentation, Hopf algebra