A nonrecursive scheme is presented to compute the KazhdanLusztig polynomials associated to a classical Hermitian symmetric space, extending a result of Lascoux-Schutzenberger for grassmannians. Theâ€¦ (More)

In [BKN] the authors initiated a study of the representation theory of classical Lie superalgebras via a cohomological approach. Detecting subalgebras were constructed and a theory of supportâ€¦ (More)

Let ÃŸ be a finite-dimensional complex semisimple Lie algebra and t> a parabolic subalgebra. The first result is a necessary and sufficient condition, in the spirit of the Bernstein-Gelfand-Gelfandâ€¦ (More)

Let g = gÂ¯ 0 âŠ• gÂ¯ 1 be a classical Lie superalgebra and F be the category of finite dimensional g-supermodules which are semisimple over gÂ¯ 0. In this paper we investigate the homological propertiesâ€¦ (More)

1.1. Support varieties were introduced in the pioneering work of Alperin [A] and Carlson [Ca1, Ca2] nearly 25 years ago as a method to study complexes and resolutions of modules over group algebras.â€¦ (More)

The Lusztig Conjecture expresses the character of a finite-dimensional irreducible representation of a reductive algebraic group G in prime characteristic as a linear combination of characters ofâ€¦ (More)