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- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT81 papers
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9 papers · 1 filter
q-Analogs of some congruences involving Catalan numbers
Roberto Tauraso
We provide some variations on the Greene-Krammer's identity which involve q-Catalan numbers. Our method reveals a curious analogy between these new identities and some congruences…
Extended Formulations for Packing and Partitioning Orbitopes
Yuri Faenza, Volker Kaibel
We give compact extended formulations for the packing and partitioning orbitopes (with respect to the full symmetric group) described and analyzed in (Kaibel and Pfetsch, 2008). Th…
The Veronese Construction for Formal Power Series and Graded Algebras
Francesco Brenti, Volkmar Welker
Let be a sequence of complex numbers such that its generating series satisfies for some polynomial . For an…
Quasisymmetric functions and Kazhdan-Lusztig polynomials
Louis J. Billera, Francesco Brenti
We associate a quasisymmetric function to any Bruhat interval in a general Coxeter group. This association can be seen to be a morphism of Hopf algebras to the subalgebra of all pe…
Alternating subgroups of Coxeter groups
Francesco Brenti, Victor Reiner, Yuval Roichman
We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.
-Vectors of Barycentric Subdivisions
Francesco Brenti, Volkmar Welker
For a simplicial complex or more generally Boolean cell complex we study the behavior of the - and -vector under barycentric subdivision. We show that if has a non-ne…