Search Results - "Bordemann, Martin"

Refine Results
  1. 1

    Noncommutative Riemann Surfaces by Embeddings in by Arnlind, Joakim, Bordemann, Martin, Hofer, Laurent, Hoppe, Jens, Shimada, Hidehiko

    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…”
    Get full text
    Journal Article
  2. 2
  3. 3
  4. 4
  5. 5

    L∞-formality check for the Hochschild complex of certain universal enveloping algebras by Bordemann, Martin, Elchinger, Olivier, Gutt, Simone, Makhlouf, Abdenacer

    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…”
    Get full text
    Journal Article
  6. 6

    Algebraic deformation quantization of Leibniz algebras by Alexandre, Charles, Bordemann, Martin, Rivière, Salim, Wagemann, Friedrich

    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…”
    Get full text
    Journal Article
  7. 7

    Noncommutative Riemann Surfaces by Embeddings in R3 by Arnlind, Joakim, Bordemann, Martin, Hofer, Laurent, Hoppe, Jens, Shimada, Hidehiko

    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…”
    Get full text
    Journal Article
  8. 8
  9. 9

    Structure theory of Rack-Bialgebras by Alexandre, Charles, Bordemann, Martin, Riviere, Salim, Wagemann, Friedrich

    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…”
    Get full text
    Journal Article
  10. 10

    Formality and Deformations of Universal Enveloping Algebras by Bordemann, Martin, Makhlouf, Abdenacer

    “…We describe enveloping algebras of finite-dimensional Lie algebras which are formal in the sense that their Hochschild complex as a differential graded Lie…”
    Get full text
    Journal Article
  11. 11

    A gentle introduction to Drinfel'd associators by Bordemann, Martin, Rivezzi, Andrea, Weigel, Thomas

    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…”
    Get full text
    Journal Article
  12. 12

    Noncommutative Riemann Surfaces by Embeddings in R-3 by Arnlind, Joakim, Bordemann, Martin, Hofer, Laurent, Hoppe, Jens, Shimada, Hidehiko

    “…We introduce C-Algebras of compact Riemann surfaces ∑ as non-commutative analogues of the Poisson algebra of smooth functions on ∑. Representations of these…”
    Get full text
    Journal Article
  13. 13

    Goldfish Geodesics and Hamiltonian Reduction of Matrix Dynamics by Arnlind, Joakim, Bordemann, Martin, Hoppe, Jens, Lee, Choonkyu

    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…”
    Get full text
    Journal Article
  14. 14

    Noncommutative localization in smooth deformation quantization by Araujo, Hamilton, Bordemann, Martin, Hurle, Benedikt

    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…”
    Get full text
    Journal Article
  15. 15

    The Minimality of Determinantal Varieties by Bordemann, Martin, Choe, Jaigyoung, Hoppe, Jens

    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…”
    Get full text
    Journal Article
  16. 16
  17. 17

    A dirty integration of Leibniz algebras by Bordemann, Martin, Wagemann, Friedrich

    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…”
    Get full text
    Journal Article
  18. 18

    Déformation par quantification et rigidité des algèbres enveloppantes by Bordemann, M., Makhlouf, A., Petit, T.

    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…”
    Get full text
    Journal Article
  19. 19

    On representations of star product algebras over cotangent spaces on Hermitian line bundles by Bordemann, Martin, Neumaier, Nikolai, Pflaum, Markus J., Waldmann, Stefan

    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…”
    Get full text
    Journal Article
  20. 20

    Algebraic deformation quantization of Leibniz algebras by Alexandre, Charles, Bordemann, Martin, Riviere, Salim, Wagemann, Friedrich

    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…”
    Get full text
    Journal Article