Degenerations of flag and Schubert varieties to toric varieties Page 1 Transformation Groups,
Vol. 1, No. 3, 1996, pp. 215-248 (~ Birkhguser Boston (1996) DEGENERATIONS OF FLAG …

We describe the torus-equivariant cohomology ring of isotropic Grassmannians by using a
localization map to the torus fixed points. We present two types of formulas for equivariant …

In this paper, which is a sequel of [PSV], we develop a completely ele-mentary approach to
calculations in Chevalley groups G= G (O, R) of types 0= E6 and E7 over a commutative ring …

This book provides an introduction to flag varieties and their Schubert subvarieties. The
book portrays flag varieties as an interplay of algebraic geometry, algebraic groups …

We present a combinatorial and computational commutative algebra methodology for
studying singularities of Schubert varieties of flag manifolds. We define the combinatorial …

A theorem of Ryan and Wolper states that a type A Schubert variety is smooth if and only if it
is an iterated fibre bundle of Grassmannians. We extend this theorem to arbitrary finite type …

We give combinatorial descriptions of the restrictions to $ T $-fixed points of the classes of
structure sheaves of Schubert varieties in the $ T $-equivariant $ K $-theory of …

Abstract {\it Kazhdan-Lusztig ideals}, a family of generalized determinantal ideals
investigated in [Woo-Yong~'08], provide an explicit choice of coordinates and equations …

This monograph represents an expanded version of a series of lectures given by V.
Lakshmibai on Grassmannian varieties at the workshop on “Geometric Representation …

Let G be a connected semisimple algebraic group, B a Borel subgroup, T a maximal torus in
B with Weyl group W, and Q a subgroup containing B. For w∈W, let X_wQ denote the …