³ÉÈË´óƬ

Speaker: Khoa Nguyen (³ÉÈË´óƬ)

Title: Indecomposable non-weight modules over sl(m|1)

Abstract: 
In this talk we present a family of indecomposable non-weight sl(m|1)-modules obtained as pullbacks of exponential D(m|1)-modules
   E(g)=C[x_1,...,x_m,ξ]e^g(x_1,...,x_m)

along the homomorphisms Φ_S: U(sl(m|1))→D(m|1) indexed by S ⊆{1,...,m}.The resulting sl(m|1)-modules lie in the category M_{sl(m|1)}(k|k) of U(h)-free U(sl(m|1))-modules of rank k in each parity. We establish an isomorphism theorem for this family and give an indecomposability criterion.

This is based on joint work with I. Dimitrov, C. Paquette, and D. Wehlau.