7 citations
8 papers
Kazhdan--Lusztig cells and the Murphy basis
Meinolf Geck
Let be the Iwahori--Hecke algebra associated with , the symmetric group on symbols. This algebra has two important bases: the Kazhdan--Lusztig basis and the Murphy bas…
How can we escape Thomae's relations?
Christian Krattenthaler, Tanguy Rivoal
In 1879, Thomae discussed the relations between two generic hypergeometric -series with argument 1. It is well-known since then that there are 120 such relations (including…
On the Coxeter transformations for Tamari posets
Frederic Chapoton
On obtient une relation entre la transformation de Coxeter agissant sur le groupe de Grothendieck de la categorie derivee des modules sur un poset de Tamari d'une part et la struct…
Quivers with relations and cluster tilted algebras
Philippe Caldero, Frederic Chapoton, Ralf Schiffler
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in connection with dual canonical bases. To a cluster algebra of simply laced Dynkin type one can associate the clust…
Quasi-bialgebras and dynamical r-matrices
Serge Parmentier, Romaric Pujol
We study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebras. For a class of Lie quasi-bialgebras naturally compatible with a reductive decomposit…
CLAIRE: Combining Sets, Search And Rules To Better Express Algorithms
Yves Caseau, Francois-Xavier Josset, Francois Laburthe
This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules and search, into an imperative (func…