Classification of irreducible weight modules over W - algebra W ( 2 , 2 ) ∗
نویسنده
چکیده
We show that the support of an irreducible weight module over the W -algebra W (2, 2), which has an infinite dimensional weight space, coincides with the weight lattice and that all nontrivial weight spaces of such a module are infinite dimensional. As a corollary, we obtain that every irreducible weight module over the the W -algebra W (2, 2), having a nontrivial finite dimensional weight space, is a Harish-Chandra module (and hence is either an irreducible highest or lowest weight module or an irreducible module of the intermediate series).
منابع مشابه
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