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- Victor Kreiman, V. Lakshmibai
- 2001

We give a closed-form formula for the Hilbert function of the tangent cone at the identity of a Schubert variety X in the Grassmannian in both group theoretic and combinatorial terms. We also give aâ€¦ (More)

- Susumu Ariki, Victor Kreiman, SHUNSUKE TSUCHIOKA
- 2008

Let {B(Î›m) | m âˆˆ Z/eZ} be the set of level one g(A (1) eâˆ’1)-crystals, and consider the realization of B(Î›m) using e-restricted partitions. We prove a purely Young diagrammatic criterion for anâ€¦ (More)

- Victor Kreiman, V. LAKSHMIBAI
- 2002

The Richardson variety X w is defined to be the intersection of the Schubert variety Xw and the opposite Schubert variety X . For X w in the Grassmannian, we obtain a standard monomial basis for theâ€¦ (More)

- Victor Kreiman
- 2005

We present a new proof of a result by Kodiyalam-Raghavan [7] and Kreiman-Lakshmibai [11], which gives an explicit GrÃ¶bner basis for the ideal of the tangent cone at any T -fixed point of a Richardsonâ€¦ (More)

- Victor Kreiman
- 2007

We give a positive equivariant Littlewood-Richardson rule also discovered independently by Molev. Our proof generalizes a proof by Stembridge of the ordinary Littlewood-Richardson rule. We describe aâ€¦ (More)

- Victor Kreiman, V. Lakshmibai, Patricia L Magyar, Jennifer R Weyman
- 2004

We give an elementary and easily computable basis for the Demazure modules in the basic representation of the affine Lie algebra ! sln (and the loop group " SLn). A novel feature is that we defineâ€¦ (More)

- Victor Kreiman
- 2006

We give positive formulas for the restriction of a Schubert Class to a T -fixed point in the equivariant K-theory and equivariant cohomology of the Lagrangian Grassmannian. Our formulas rely on aâ€¦ (More)

- Victor Kreiman
- 2005

We give positive formulas for the restriction of a Schubert Class to a T -fixed point in the equivariant K-theory and equivariant cohomology of the Grassmannian. Our formulas rely on a result ofâ€¦ (More)

- Victor Kreiman
- Electr. J. Comb.
- 2008

The product of any finite number of factorial Schur functions can be expanded as a Z[y]-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion whichâ€¦ (More)

- Victor Kreiman, V. LAKSHMIBAI, Patricia L Magyar, Jennifer R Weyman

We give an elementary and easily computable basis for the De-mazure modules in the basic representation of the affine Lie algebra sln (and the loop group SLn). A novel feature is that we define ourâ€¦ (More)