Representations of asl2
نویسنده
چکیده
We study representations of the simple Lie antialgebra asl 2 introduced in [4]. We show that representations of asl 2 are closely related to the famous ghost Casimir element of the universal enveloping algebra osp(1|2). We prove that asl 2 has no non-trivial finite-dimensional representations; we define and classify some particular infinite-dimensional representations that we call weighted representations.
منابع مشابه
Representations of asl2
We study representations of the simple Lie antialgebra asl 2 introduced in [5]. We show that representations of asl 2 are closely related to the famous ghost Casimir element of the universal enveloping algebra osp(1|2). We prove that asl 2 has no non-trivial finite-dimensional representations; we define and classify some particular infinite-dimensional representations that we call weighted repr...
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تاریخ انتشار 2009