53 citations · 54 across the 2 of their papers we have counts for
4 papers
Categorification of Clifford algebra via geometric induction and restriction
Caroline Gruson, Vera Serganova
We use geometric parabolic induction functors and the adjoint functors for the supergroups Osp(2m+1,2n) (where m and n vary) to categorify the action of the infinite-dimensional Cl…
Modernity of Halphen's variations on a theme of Monge
Caroline Gruson, Laurent Gruson
We construct a Z_3-slice to the natural action of PGL(V) on the variety of smooth arcs in the projective space P(V).
Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups
Caroline Gruson, Vera Serganova
We prove a BGG type reciprocity law for the category of finite dimensional modules over algebraic supergroups satisfying certain conditions. The equivalent of a standard module in…
Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras
Caroline Gruson, Vera Serganova
In this paper, we use geometrical methods adapted from the Borel-Weil-Bott theory to compute the character of every finite dimensional simple module over a basic classical Lie supe…