0 O ct 1 99 9 Methods of Equivariant Quantization

1 9 O ct 1 99 9 Methods of Equivariant Quantization

This article is a survey of recent work [15, 6, 7, 13] developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples are provided by conformal and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, we establish a canonical isomorphism between the space of symmetric contravar...

v 1 1 7 O ct 1 99 6 Quantum Schubert polynomials and the Vafa – Intriligator formula

We introduce a quantization map and study the quantization of Schubert and Grothendieck polynomials, monomials, elementary and complete polynomials. Our construction is based on the quantum Cauchy identity. As a corollary, we prove the Lascoux–Schützenberger type formula for quantum Schubert polynomials of the flag manifold. Our formula gives a simple method for computation of quantum Schubert ...

ar X iv : h ep - p h / 99 10 24 8 v 1 6 O ct 1 99 9 1 Effect of σ ( 600 ) - Production in pp̄ → 3 π 0 at rest

ar X iv : q - a lg / 9 70 70 31 v 2 1 2 O ct 1 99 7 DOUBLE QUANTIZATION ON THE COADJOINT REPRESENTATION OF SL

For g = sl(n) we construct a two parametric U h (g)-invariant family of algebras, (Sg) t,h , which defines a quantization of the function algebra Sg on the coadjoint representation and in the parameter t gives a quantization of the Lie bracket. The family induces a two parametric deformation of the function algebra of any maximal orbit which is a quantization of the Kirillov-Kostant-Souriau bra...

Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-varieties

X iv :m at h/ 99 03 16 2v 3 [ m at h. A G ] 6 O ct 1 99 9 Abstract. Let G be an algebraic group and let X be a generically free G-variety. We show that X can be transformed, by a sequence of blowups with smooth G-equivariant centers, into a G-variety X ′ with the following property: the stabilizer of every point of X ′ is isomorphic to a semidirect product U >⊳ A of a unipotent group U and a di...