Seminar za algebru, ZCI QuantiXLie

U utorak, 28. veljače u okviru Seminara za algebru, Lucia Bagnoli održat će predavanje:  

“Finite irreducible modules over some conformal superalgebras”.

Seminar počinje u 15:00 sati u predavaonici A101. Pozivaju se članovi Seminara i svi zainteresirani da prisustvuju ovom zanimljivom predavanju.

Sažetak:
In this talk we recall the definition and main properties of conformal superalgebras. Then we present the classification of the finite irreducible modules over the conformal superalgebra K'_4 obtained by their correspondence with finite conformal modules over the associated annihilation superalgebra A(K'_4). This is achieved by a complete classification of singular vectors in generalized Verma modules for A(K'_4). We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes. This classification is a joint work with F. Caselli.

Then we present a result on the homology of these complexes that provides an explicit realization of all irreducible quotients.

Finally we present a recent result on the conformal superalgebra CK_6 and discuss some open problems.