"t-stabilities and t-structures on triangulated categories"
(joint with S.A.Kuleshov and A.N.Rudakov):
in english and
"On finest and modular t-stabilities" (joint with S.A.Kuleshov, in english).
"On syzygies of highest weight orbits" (joint with A.S.Khoroshkin and A.N.Rudakov, in english). We study a minimal resolution for the coordinate algebra of projective orbit of the highest weight vector in an irreducible representation of semisimple complex Lie group. We show that the syzygies are isomorphic to the cohomologies of appropriate graded Lie superalgebra and illustrate this by several examples including the complete computation of syzygies for grassmannians Gr(2,N) in the standard Plucker embedding.