30 citations · 65 across the 8 of their papers we have counts for
8 papers
Morphisms of Verma modules over exceptional Lie superalgebra E(5,10)
Alexei Rudakov
In this paper we define the degree of a morphism between (generalized) Verma modules over a graded Lie superalgebra and construct series of morphisms of various degrees between (ge…
Representations of simple finite Lie conformal superalgebras of type W and S
Carina Boyallian, Victor G. Kac, Jose I. Liberati +1
We construct all finite irreducible modules over Lie conformal superalgebras of type W and S.
On syzygies of highest weight orbits
A. L. Gorodentsev, A. S. Khoroshkin, A. N. Rudakov
We consider the graded space of syzygies for the coordinate algebra of projective variety embedded into projective space as an orbit of the highest weight vector of…
Stability data and t-structures on a triangulated category
A. Gorodentscev, S. Kuleshov, A. Rudakov
We propose the notion of stability on a triangulated category that is a generalization of the T.Bridgeland's stability data. We establish connections between stabilities and t-stru…
Representations of the exceptional Lie superalgebra E(3,6) III: Classification of singular vectors
Victor G. Kac, Alexei Rudakov
We continue the study of irreducible representations of the exceptional Lie superalgebra E(3,6). This is one of the two simple infinite-dimensional Lie superalgebras of vector fiel…
Complexes of modules over exceptional Lie superalgebras and
Victor G. Kac, Alexei Rudakov
In this paper complexes of generalized Verma modules over the infinite-dimensional exceptional Lie superalgebras and are constructed and studied.