Encontrados 5 documentos, a visualizar página 1 de 1
On noncrossing and nonnesting partitions of type D
Conflitti, Alessandro; Mamede, RicardoWe present an explicit bijection between noncrossing and nonnesting partitions of Coxeter systems of type D which preserves openers, closers and transients. ; Centro de Matemática da Universidade Coimbra; Fundação para a Ciência e a Tecnologia Grant SFRH/BPD/30471/2006.
On an index two subgroup of puzzle and Littlewood-Richardson tableau Z2 x S3-sy...
Azenhas, Olga; Conflitti, Alessandro; Mamede, RicardoWe consider an action of the dihedral group Z2 × S3 on Littlewood- Richardson tableaux which carries a linear time action of a subgroup of index two. This index two subgroup action on Knutson-Tao-Woodward puzzles is the group generated by the puzzle mirror reflections with label swapping. One shows that, as happens in puzzles, half of the twelve symmetries of Littlewood-Richardson coefficients may also be exhib...
Linear time equivalence of Littlewood-Richardson coefficient symmetry maps
Azenhas, Olga; Conflitti, Alessandro; Mamede, RicardoBenkart, Sottile, and Stroomer have completely characterized by Knuth and dual Knuth equivalence a bijective proof of the conjugation symmetry of the Littlewood–Richardson coefficients, i.e. c μ, = c t μt, t . Tableau–switching provides an algorithm to produce such a bijective proof. Fulton has shown that the White and the Hanlon–Sundaram maps are versions of that bijection. In this paper one exhibits explici...
Boolean algebras and spectrum
Conflitti, AlessandroFor any Boolean algebra we compute the spectrum of its associated undirected Hasse graph. ; Fundação para a Ciência e a Tecnologia Grant SFRH/BPD/30471/2006; Dipartimento di Matematica, Università di Genova, Italy.
On the noncommutative hypergeometric equation
Conflitti, Alessandro; Schlosser, Michael J.Recently, J. A. Tirao [Proc. Nat. Acad. Sci. 100 (14) (2003), 8138–8141] considered a matrix-valued analogue of the 2F1 Gauß hypergeometric function and showed that it is the unique solution of a matrix-valued hypergeometric equation analytic at z = 0 with value I, the identity matrix, at z = 0. We give an independent proof of Tirao’s result, extended to the slightly more general setting of hypergeometric funct...
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