On the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153510In this paper, we give defining relations of the affine Lie superalgebras an and defining relations of a super-version of the Drinfeld[D]-Jimbo[J] affine quantized universal enveloping algebras. As a result, we can exactly define the affine quantized universal enveloping superalgebras with generators and relations. Moreover we give a Drinfeld's realizations of $U_h({\hat {sl}}(m|n)^{(1)})$.latex, 29k bytesQuantum AlgebraOn the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebrastext