Toroidal and Level 0 U
نویسنده
چکیده
(1) Utilizing a Braid group action on a completion of Uq(ŝln+1), an algebra homomorphism from the toroidal algebra Uq(sln+1,tor) (n ≥ 2) with fixed parameter to a completion of Uq(ĝln+1) is obtained. (2) The toroidal actions by Saito induces a level 0 U ′ q(ŝln+1) action on level 1 integrable highest weight modules of Uq(ŝln+1). Another level 0 U ′ q(ŝln+1) action is defined by Jimbo, et al., in the case n = 1. Using the fact that the intertwiners of Uq(ŝln+1) modules are intertwiners of toroidal modules for an appropriate comultiplication, the relation between these two level 0 U ′ q(ŝln+1) actions is clarified.
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تاریخ انتشار 1998