Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function

For any toric affine variety X of dimension at least 2, with no toric factor, and smooth in codimention 2 one can find a finite collection of Demazure root subgroups such that the

for the gravitational field, depending upon the physical metric, its first derivatives and the background metric, and one can use the geometrical techniques developed

cross section of the N - N elastic scattering is also found to be propor- tional to the fourth power of the electromagnetic form factor for any values of t = q2;

The corresponding vectors in E(v) which we denote by e^^ are called extreme weight vectors. 1) which fails in general, still holds for extreme weight vectors if we admit the

of this fact we shall prove a new omega result for E2(T), the remainder term in the asymptotic formula for the fourth power mean of the Riemann zeta-function.. We start

[r]

Nevertheless, the combinatorial R-matrices for fundamental crystals, the orbit of the highest weight vertex in the crystals and the strong Bruhat order on this orbit become more

Abstract Stanley symmetric functions are the stable limits of Schubert polynomials. In this paper, we show that, conversely, Schubert polynomials are Demazure truncations of