Naslov
Subsingular vectors in Verma modules, and tensor product of weight modules over the W(2,2)-algebra

Autori
Radobolja, Gordan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Representation Theory XIII

Mjesto i datum
Dubrovnik, Hrvatska, 21.06.2013. - 27.06.2013

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
subsingular vectors, Virasoro algebra, highest weight modules

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA