Mathieu Mansuy - Research

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• Doctor of the University Paris VII, conducted by David Hernandez


• Research interests : Representation theory, quantum algebras, algebraic combinatorics
  
  

• Représentations l-extrémales des algèbres toroïdales quantiques, Ph-D thesis University Paris VII (2013)
Version pdf, Appendix C and Appendix D



• Classification of linearly compact simple Nambu-Poisson algebras , in collaboration with Nicoletta Cantarini and Victor G. Kac
Journal of Mathematical Physics 57, 051701, 2016
Preprint arXiv : 1511.04957


• Quantum extremal loop weight modules for $U_q(\hat{sl}_\infty)$
Algebras and Representation Theory, Vol. 18 No. 6, 2015
Preprint arXiv : 1309.4298


• Extremal loop weight modules and tensor products for quantum toroidal algebras
Communications in Algebra, Vol.46, No. 4, 2018
Preprint arXiv : 1305.3481


• Quantum extremal loop weight modules and monomial crystals
Pacific Journal of Mathematics, Vol. 267, No. 1, 2014
Preprint arXiv : 1207.3299
Description of the monomial crystal $\mathcal{M}(Y_{1,1}Y_{1,-1}Y_{0,2}^{-1}Y_{0,0}^{-1})$

• Post-doctoral researcher, University of Bologna, Italy - from September 2014 to August 2015.


• Teaching assistant, University of Reims, France - from September 2013 to August 2014.


• PhD in Mathematics, University Paris Diderot Paris 7, France - from September 2010 to August 2013.

• Visiting position at Scuala Normale Superiore di Pisa, for the intensive research period "Perspectives in Lie Theory", December 2014 and January 2015, Italy.


• Visiting position at Centre de Mathématiques de Montréal, for the thematic semester "New directions in Lie Theory", April 2014, Canada.


• Visiting position at the University of California, Riverside, with Vyjayanthi Chari, january 2014, USA.

Other documents

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• Généralisations de l'algèbre de Hopf des fonctions symétriques et applications, mémoire de Master 2 sous la direction de Marc Rosso, juin 2010, Paris (pdf).

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