Subsingular vectors in Verma modules, and tensor product of weight modules over the W(2,2)-algebra (CROSBI ID 698456)
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Podaci o odgovornosti
Radobolja, Gordan
engleski
Subsingular vectors in Verma modules, and tensor product of weight modules over the W(2,2)-algebra
Lie algebra W(2, 2) was first introduced by W. Zhang and C. Dong in 2009. as a part of classification of simple vertex operator algebras generated by two weight two vectors. It is an extension of a well known Virasoro algebra Vir, and its representation theory is somewhat similar to that of Vir. Criterion for irreducibility of Verma modules over W(2, 2) was given by Zhang and Dong. In this talk we will show that subsingular vectors may exist in Verma modules over the W(2, 2) and will present a subquotient structure of these modules. Furthermore, we will prove conditions for irreducibility of a tensor product of intermediate series module with a highest weight module. Relations to intertwining operators over the vertex operator algebra associated to W(2, 2) will be discussed.
subsingular vectors, Virasoro algebra, highest weight modules
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Podaci o prilogu
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Podaci o skupu
Representation Theory XIII
pozvano predavanje
21.06.2013-27.06.2013
Dubrovnik, Hrvatska