A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry
of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the …

The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an
irreducible projective (normal) toric variety. We prove that this algebra is the ring of …

The main object of this paper is to study the representations of monomial groups and
characters technique for representations of monomial groups. We refer to monomial groups …

Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of
Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy …

We consider the dimensions of irreducible representations whose highest weights lie on a
given finitely generated lattice cone. We present a rational function representing the …

A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry
of the Seshadri stratifi-cations of Schubert varieties by their Schubert subvarieties and (2) the …