A classification of unitary highest weight modules of the quantum analogue of the symmetric pair (A(n), A(n-1))

[摘要] We study the irreducibility and unitarity of highest weight modules of the quantized enveloping algebra associated to su(n, 1). We obtain a classification of these modules analogous to that of [EHW] in the classical context. We also compute all commutation relations between root vectors in u(q)(su(n,1)). (C) 1997 Academic Press.

[发布日期] 1997-06-01