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most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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math.QA2008

Equivariant cohomology and tensor categories

Martin Andler, Siddhartha Sahi

We propose the notion of a supercategory as an alternative approach to supermathematics. We show that this setting is rich to carry out many of the basic constructions of supermath…

math.QA2007★ 6 cited

Algebraic quantum permutation groups

Julien Bichon

We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If is any characteristic zero field, we show that there exists a universal cosem…

math.QA2005

Quantum unique factorisation domains

S Launois, T H Lenagan, L Rigal

We prove a general theorem showing that iterated skew polynomial extensions of the type which fit the conditions needed by Cauchon's deleting derivations theory and by the Goodearl…

math.QA2004

Isomorphisms between quantum generalized Weyl algebras

Lionel Richard, Andrea Solotar

We study isomorphisms between generalized Weyl algebras, giving a complete answer to the quantum case of this problem for R=k[h].

math.QA2003

Constructible characters and canonical bases

Bernard Leclerc, Hyohe Miyachi

We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of . These formulas coincide at v=1 with Lusztig's…

math.QA2003

Free quantum analogues of the first fundamental theorems of invariant theory

Julien Bichon

We formulate and prove a free quantum analogue of the first fundamental theorems of invariant theory. More precisely, the polynomial functions algebras are replaced by free algebra…