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math.RT2003★ 1 cited
Integrable modules for affine Lie superalgebras
S. Eswara Rao, Vyacheslav Futorny
Irreducible nonzero level modules with finite-dimensional weight spaces are studied for non-twisted affine Lie superalgebras. A complete classification is obtained for superalgebra…
math.RT2003★ 14 cited
Intermediate Wakimoto modules for Affine sl(n+1)
Ben Cox, Vyacheslav Futorny
We construct certain boson type realizations of affine sl(n+1) that depend on a parameter r. When r=0 we get a Fock space realization of Imaginary Verma modules appearing in the wo…
math.RA2003
Kostant theorem for special filtered algebras
Vyacheslav Futorny, Serge Ovsienko
A famous result of Kostant states that the universal enveloping algebra of a semisimple complex Lie algebra is a free module over its center. We prove an analogue of this result fo…