nLab Bernard Leclerc

Bernard Leclerc is a mathematician at Université de Caen. His specialties include algebraic combinatorics and representation theory.

• homepage

Selected works

On quasideterminants and quantum determinants:

• Israel Gelfand, Daniel Krob, Alain Lascoux, Bernard Leclerc, Vladimir S. Retakh, J.-Y. Thibon: Noncommutative symmetric functions, Adv. in Math. 112 2 (1995) 218–348 [arXiv:hep-th/9407124, doi:10.1006/aima.1995.1032]

• Daniel Krob, Bernard Leclerc, Minor identities for quasi-determinants and quantum determinants, Comm. Math. Phys. 169 (1995) 1-23 [doi:10.1007/BF02101594, arXiv:hep-th/9411194]

• Bernard Leclerc, Andrei Zelevinsky, Quasicommuting families of quantum Pluecker coordinates, In G. I. Olshanski et al. Kirillov’s seminar on representation theory, Adv. Math. Sci. 181. Amer. Math. Soc. 1998

On noncommutative symmetric functions

• Israel Gelfand, Daniel Krob, Alain Lascoux, Bernard Leclerc, Vladimir Retakh, J.-Y. Thibon, Noncommutative symmetric functions, Adv. in Math. 112 (2) (1995) 218–348

• D. Krob, B. Leclerc, J.-Y. Thibon, Noncommutative symmetric functions. II. Transformations of alphabets, Internat. J. Algebra Comput. 7 (1997) 181–264

On cluster algebras

• Christof Geiss, Bernard Leclerc, Jan Schröer, Preprojective algebras and cluster algebras, arxiv:0804.3168; Kac-Moody groups and cluster algebras, arxiv:1001.3545

• Christof Geiss, Bernard Leclerc, Jan Schröer, Cluster structures on quantum coordinate rings, Selecta Math. 19 (2013) 337–397 arxiv/1104.0531

• B. Leclerc, Imaginary vectors in the dual canonical basis of $U_q(n)$, Transform. Groups 8 (2003) 95–104 MR1959765

On derived Hall algebras:

• David Hernandez, Bernard Leclerc: Quantum Grothendieck rings and derived Hall algebras, J. Reine Angew. Math. 701 (2015) 77-126 [doi, arXiv/1109.0862]

category: people