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Para-Grassmann Star Product Calculation
Letters in Mathematical Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chadzitaskos, G., Odzijewicz, A.
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$$\mathfrak{g}$$ -Relative Star Products
Letters in Mathematical Physics, 2001This paper studies Kontsevich star products on duals of Lie algebras. Each such star product, associated to a linear Poisson structure \(\alpha\), is given by a universal integral formula \[ (u_1*_\alpha U_2)(\xi)= \int_{{\mathfrak g} \times{\mathfrak g}} \widehat u_1(X)\widehat u_2(Y){F(X) F(Y)\over F(X \times_\alpha Y)}e^{2\pi i\langle X\times_\alpha
Arnal, Didier, Ben Amar, Nabiha
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Letters in Mathematical Physics, 2009
We give short proofs of results concerning homogeneous star products, of which S. Gutt’s star product on the dual of a Lie algebra is a particular case.
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We give short proofs of results concerning homogeneous star products, of which S. Gutt’s star product on the dual of a Lie algebra is a particular case.
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Star Products, Star Exponentials, and Star Functions
2018We give a brief review on non-formal star products and star exponentials and star functions (Omori et al., Deformation of expressions for elements of an algebra, in Symplectic, Poisson, and Noncommutative Geometry. Mathematical Sciences Research Institute Publications, vol. 62 (Cambridge University Press, Cambridge, 2014), pp.
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, 1999 Lone Star Productions (LSP) is a concert promotions business that was started in 1981 by Bill Oldman. Since 1986, this company has been the exclusive provider of concert promotion materials for 75% of the top grossing national tours. In 1997, Bill Oldman sold the company to a group of investors headed by Mike Sims.
Ronald L. Earl +4 more
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Classical and Quantum Gravity, 1997
Summary: We give an elementary proof of the fact that equivalence classes of smooth or differentiable star products on a symplectic manifold \(M\) are parametrized by sequences of elements in the second de Rham cohomology space of the manifold. The parametrization is given explicitly in terms of Fedosov's construction which yields a star product when ...
Bertelson, Mélanie +2 more
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Summary: We give an elementary proof of the fact that equivalence classes of smooth or differentiable star products on a symplectic manifold \(M\) are parametrized by sequences of elements in the second de Rham cohomology space of the manifold. The parametrization is given explicitly in terms of Fedosov's construction which yields a star product when ...
Bertelson, Mélanie +2 more
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Star Products and Quantum Algebras
International Journal of Theoretical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Star Exponentials in Star Product Algebra
2019A star product is an associative product for certain function space on a manifold, which is given by deforming a usual multiplication of functions. The star product we consider is given on \(\mathbb{C}^{n}\) in non-formal sense. In the star product algebra we consider exponential elements, which are called star exponentials.
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2004
In this chapter we look at expansions which use star products. We generalize star products and apply the corresponding expansions to some functions which grow faster than any iterated exponential. This section continues Section 4.5 and provides a development of the second part of [104].
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In this chapter we look at expansions which use star products. We generalize star products and apply the corresponding expansions to some functions which grow faster than any iterated exponential. This section continues Section 4.5 and provides a development of the second part of [104].
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2000
We give a contravariant version of Fedosov’s construction of star-products on symplectic manifolds. This result is used to provide an alternative construction of star-products on Abelian Poisson Lie groups.
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We give a contravariant version of Fedosov’s construction of star-products on symplectic manifolds. This result is used to provide an alternative construction of star-products on Abelian Poisson Lie groups.
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