2004/06/28 by Giuseppe Dito, Dito, Giuseppe
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.math/0406583
arxiv created 2004/06/28 · openalex publication_date 2004/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study deformation quantization on an infinite-dimensional Hilbert space W endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made explicit and it is shown that it is well defined on a subalgebra of C^∞(W). A classification of inequivalent deformation quantizations of exponential type, containing the Moyal and normal star-products, is also given.