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N-free extensions of posets.Note on a theorem of P.A.Grillet
Maurice Pouzet, Nejib Zaguia
Let be the poset obtained by adding a dummy vertex on each diagonal edge of the 's of a finite poset . We show that is -free. It follows th…
Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal
Alexis Tchoudjem
The Borel-Weil-Bott theorem describes the cohomology of line bundles over flag varieties. Here, one generalizes this theorem to a wider class of projective varieties : the wonderfu…
Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groups
Fokko Du Cloux
This paper is a report on a computer check of some positivity properties of the Hecke algebra in type H4, including the non-negativity of the coefficients of the structure constant…
Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties
Sophie Morier-Genoud
In the sl\_n case, A. Berenstein and A. Zelevinsky studied the Schützenberger involution in terms of Lusztig's canonical basis, [3]. We generalize their construction and formulas f…
Cohomology rings of toric varieties assigned to cluster quivers: the case of unioriented quivers of type A
Frederic Chapoton
The theory of cluster algebras of S. Fomin and A. Zelevinsky has assigned a fan to each Dynkin diagram. Then A. Buan, R. Marsh, M. Reineke, I. Reiten and G. Todorov have generalize…