AbstractLet (M, ω) be a symplectic manifold with [ω] representing an integral cohomology class, let P = C∞(M) be its Poisson algebra, and let S ⊂P be a subset generating a dense subalgebra of P. We show that the representation of S by symmetric (and sometimes self-adjoint) operators obtained by the Kostant-Souriau prequantization is irreducible. In particular P itself is irreducibly represented
Abstract. Let G be a simply connected semisimple compact Lie group with standard Poisson structure, ...
We study the Poisson bracket invariant $pb$, which measures the level of Poisson noncommutativity of...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
AbstractLet (M, ω) be a symplectic manifold with [ω] representing an integral cohomology class, let ...
We compute the space of Poisson traces on symmetric powers of affine symplectic varieties. In the ca...
We present a geometric construction of central S^1-extensions of the quantomorphism group of a prequ...
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplec...
We extend known prequantization procedures for Poisson and presym- plectic manifolds by defining the...
AbstractIn the paper, we establish some conditions which ensure one of the following: (i) the existe...
AbstractConsider a compact prequantizable symplectic manifold M on which a compact Lie group G acts ...
AbstractLet B be a compact manifold. A cone over B is a principal R+-bundle, X, with base B. Let (a,...
Quantization is not a straightforward proposition, as demonstrated by Groenewold’s and Van Hove’s di...
In this paper we continue our study of Groenewold-Van Hove obstructions to quantization. We show tha...
We survey the theory of Poisson traces (or zeroth Poisson homology) developed by the authors in a se...
We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal ge...
Abstract. Let G be a simply connected semisimple compact Lie group with standard Poisson structure, ...
We study the Poisson bracket invariant $pb$, which measures the level of Poisson noncommutativity of...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
AbstractLet (M, ω) be a symplectic manifold with [ω] representing an integral cohomology class, let ...
We compute the space of Poisson traces on symmetric powers of affine symplectic varieties. In the ca...
We present a geometric construction of central S^1-extensions of the quantomorphism group of a prequ...
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplec...
We extend known prequantization procedures for Poisson and presym- plectic manifolds by defining the...
AbstractIn the paper, we establish some conditions which ensure one of the following: (i) the existe...
AbstractConsider a compact prequantizable symplectic manifold M on which a compact Lie group G acts ...
AbstractLet B be a compact manifold. A cone over B is a principal R+-bundle, X, with base B. Let (a,...
Quantization is not a straightforward proposition, as demonstrated by Groenewold’s and Van Hove’s di...
In this paper we continue our study of Groenewold-Van Hove obstructions to quantization. We show tha...
We survey the theory of Poisson traces (or zeroth Poisson homology) developed by the authors in a se...
We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal ge...
Abstract. Let G be a simply connected semisimple compact Lie group with standard Poisson structure, ...
We study the Poisson bracket invariant $pb$, which measures the level of Poisson noncommutativity of...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
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