L. Poulain d'Andecy

   loic.poulain-dandecy(at)univ-reims.fr

Laboratoire de Mathématiques de Reims
       U.F.R. Sciences Exactes et Naturelles
       Moulin de la Housse - BP 1039
       51687 REIMS cedex 2 FRANCE



Summary

Position: Maître de Conférences, Université de Reims Champagne Ardenne

Research team: Groupes et Quantification, Laboratoire de Mathématiques de Reims (LMR), CNRS, FRE 2011

Research keywords: Representation Theory; Hecke Algebras; Lie Algebras and Quantum Groups; Braid Group; Invariants of Knots and Links; Yang-Baxter Equation; Integrable Systems;

Curriculum Vitae : here


ANR Project Young Researcher 2019 - 2023

Agence Nationale de la Recherche, JCJC Project ANR-18-CE40-0001


Events


Publications

Papers

  1. (with Nicolas Crampé and Luc Vinet) Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2), preprint .
  2. (with Salim Rostam) Morita equivalences for cyclotomic Hecke algebras of type B and D, preprint .
  3. (with Ruari Walker) Affine Hecke algebras of type D and generalisations of quiver Hecke algebras, preprint .
  4. (with Ruari Walker) Affine Hecke algebras and generalisations of quiver Hecke algebras for type B, to appear in Proceedings of the Edinburgh Mathematical Society .
  5. (with Anne-Laure Thiel and Emmanuel Wagner) Inductive basis on Birman-Murakami-Wenzl algebras and (transverse) Markov traces, preprint.
  6. (with Emmanuel Wagner) The HOMFLYPT polynomials of sublinks and the Yokonuma-Hecke algebras, Proceedings of the Royal Society of Edinburgh, Section A 148 (2018), no. 6, 1269--1278
  7. (with Nicolas Jacon) Clifford theory for Yokonuma--Hecke algebras and deformation of complex reflection groups, Journal of the London Mathematical Society (2) 96 (2017), no. 3, 501--523.
  8. Young tableaux and representations of Hecke algebras of type ADE, Journal of Combinatorial Algebra 1 (2017), 371--423.
  9. Invariants for links from classical and affine Yokonuma--Hecke algebras, "Algebraic Modeling of Topological and Computational Structures and Applications", Springer Proceedings in Mathematics & Statistics 219 (2017) 77--95.
  10. Fusion formulas and fusion procedure for the Yang--Baxter equation, Algebras and Representation Theory 20 (2017), no. 6, 1379--1414.
  11. (with Nicolas Jacon) An isomorphism theorem for Yokonuma--Hecke algebras and applications to link invariants, Mathematische Zeitschrift 283 (2016), no. 1, 301--338.
  12. (with Maria Chlouveraki) Markov traces on cyclotomic and affine Yokonuma--Hecke algebras, International Mathematics Research Notices (2015) doi: 10.1093/imrn/rnv257.
  13. (with Oleg Ogievetsky) Induced representations and traces for chains of affine and cyclotomic Hecke algebras, Journal of Geometry and Physics 87 (2015), 354--372.
  14. (with Maria Chlouveraki) Representation theory of the Yokonuma--Hecke algebra, Advances in Mathematics 259 (2014), no. 10, 134--172.
  15. Fusion procedure for wreath products of finite groups by the symmetric group, Algebras and Representation Theory 17 (2014), no. 3, 809--830.
  16. (with Oleg Ogievetsky) Fusion procedure for cyclotomic Hecke algebras, SIGMA 10 (2014), 039, 13 pages.
  17. (with Oleg Ogievetsky) Alternating subalgebras of Hecke algebras and alternating subgroups of braid groups, Communications in Algebra 42 (2014), no. 5, 1921--1936.
  18. (with Oleg Ogievetsky) Jucys--Murphy elements and representations of cyclotomic Hecke algebras, preprint.
  19. (with Oleg Ogievetsky) On representations of complex reflection groups G(m,1,n), Theoretical and Mathematical Physics 174 (2013), no. 1, 95--108.
  20. (with Oleg Ogievetsky) Alternating subgroups of Coxeter groups and their spinor extensions, Journal of Pure and Applied Algebra 217 (2013), no. 11, 2198--2211.
  21. (with Oleg Ogievetsky) Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n), Proceedings of the AMS 142 (2014), no. 9, 2929--2941.
  22. (with Oleg Ogievetsky) On representations of cyclotomic Hecke algebras, Modern Physics Letters A 26 (2011), no. 11, 795--803.

Thanks

Ana Bernal and Quentin Labriet (Webpage Counselling), Guillaume Dollé (IT support)