Search Results - "Bordemann, Martin"
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Noncommutative Riemann Surfaces by Embeddings in
Published in Communications in mathematical physics (01-06-2009)“…We introduce C-Algebras of compact Riemann surfaces as non-commutative analogues of the Poisson algebra of smooth functions on . Representations of these…”
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Formal GNS Construction and States in Deformation Quantization
Published in Communications in mathematical physics (01-08-1998)Get full text
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BRST Cohomology and Phase Space Reduction in Deformation Quantization
Published in Communications in mathematical physics (01-03-2000)Get full text
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Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups
Published in Communications in mathematical physics (01-12-1990)Get full text
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L∞-formality check for the Hochschild complex of certain universal enveloping algebras
Published in Journal of geometry and physics (01-05-2023)“…We study the L∞-formality problem for the Hochschild complex of the universal enveloping algebra of some examples of Lie algebras such as Cartan-3-regular…”
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Algebraic deformation quantization of Leibniz algebras
Published in Communications in algebra (02-12-2018)“…In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called rack bialgebra. We construct canonical rack…”
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Noncommutative Riemann Surfaces by Embeddings in R3
Published in Communications in mathematical physics (01-06-2009)“…We introduce C-Algebras of compact Riemann surfaces Σ as non-commutative analogues of the Poisson algebra of smooth functions on Σ . Representations of these…”
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Toeplitz quantization of Kähler manifolds anggl(N), N→∞ limits
Published in Communications in mathematical physics (01-10-1994)Get full text
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Structure theory of Rack-Bialgebras
Published 2016“…Journal of Generalized Lie Theory and Applications 10 (2016), no.1, Art ID 1000 244, 20 pp In this paper we focus on a certain self-distributive multiplication…”
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Formality and Deformations of Universal Enveloping Algebras
Published in International journal of theoretical physics (01-02-2008)“…We describe enveloping algebras of finite-dimensional Lie algebras which are formal in the sense that their Hochschild complex as a differential graded Lie…”
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A gentle introduction to Drinfel'd associators
Published 14-04-2023“…In this note we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and…”
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Noncommutative Riemann Surfaces by Embeddings in R-3
Published in Communications in mathematical physics (2009)“…We introduce C-Algebras of compact Riemann surfaces ∑ as non-commutative analogues of the Poisson algebra of smooth functions on ∑. Representations of these…”
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Goldfish Geodesics and Hamiltonian Reduction of Matrix Dynamics
Published in Letters in mathematical physics (01-04-2008)“…We describe the Hamiltonian reduction of a time-dependent real-symmetric N × N matrix system to free vector dynamics, and also provide a geodesic…”
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Noncommutative localization in smooth deformation quantization
Published 29-10-2020“…In this paper we shall show the equivalence of algebraic and analytic localisation for algebras of smooth deformation quantization for several situations. The…”
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The Minimality of Determinantal Varieties
Published 29-02-2020“…The determinantal variety $\Sigma_{pq}$ is defined to be the set of all $p\times q$ real matrices with $p\geq q$ whose ranks are strictly smaller than $q$. It…”
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A dirty integration of Leibniz algebras
Published 27-06-2016“…In this article, we present an integration of any real finite-dimensional Leibniz algebra as a Lie rack which reduces in the particular case of a Lie algebra…”
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Déformation par quantification et rigidité des algèbres enveloppantes
Published in Journal of algebra (15-03-2005)“…We call a finite-dimensional complex Lie algebra g strongly rigid if its universal enveloping algebra U g is rigid as an associative algebra, i.e., every…”
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On representations of star product algebras over cotangent spaces on Hermitian line bundles
Published in Journal of functional analysis (01-04-2003)“…For every formal power series B of closed two-forms on a manifold Q and every value of an ordering parameter κ∈[0,1] we construct a concrete star product ★ κ B…”
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Algebraic deformation quantization of Leibniz algebras
Published 08-10-2018“…Communications in Algebra, Taylor & Francis, 2018 In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called…”
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