Results 1 to 10 of about 277 (40)

EL-Shellability of Generalized Noncrossing Partitions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2012
In this article we prove that the poset of m-divisible noncrossing partitions is EL-shellable for every well-generated complex reflection group. This was an open problem for type G(d,d,n) and for the exceptional types, for which a proof is given case-by ...
Henri Mühle
doaj   +1 more source

Rational associahedra and noncrossing partitions [PDF]

, 2013
Each positive rational number x>0 can be written uniquely as x=a/(b-a) for coprime positive integers ...
Armstrong, Drew, Rhoades, Brendon, Williams, Nathan   +2 more
core   +1 more source

Relations between cumulants in noncommutative probability [PDF]

, 2014
We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations.
Arizmendi, Octavio, Hasebe, Takahiro, Lehner, Franz, Vargas, Carlos   +3 more
core   +1 more source

Linearization coefficients for orthogonal polynomials using stochastic processes [PDF]

, 2005
Given a basis for a polynomial ring, the coefficients in the expansion of a product of some of its elements in terms of this basis are called linearization coefficients.
Anshelevich, Michael
core   +1 more source

Stochastic aspects of easy quantum groups [PDF]

, 2009
We consider several orthogonal quantum groups satisfying the easiness assumption axiomatized in our previous paper. For each of them we discuss the computation of the asymptotic law of Tr(u^k) with respect to the Haar measure, u being the fundamental ...
Banica, Teodor, Curran, Stephen, Speicher, Roland   +2 more
core   +3 more sources

On the classification of easy quantum groups [PDF]

, 2013
In 2009, Banica and Speicher began to study the compact quantum subgroups of the free orthogonal quantum group containing the symmetric group S_n. They focused on those whose intertwiner spaces are induced by some partitions. These so-called easy quantum
Abstract In, Groups On, Moritz Weber
core   +1 more source

A uniform bijection between nonnesting and noncrossing partitions [PDF]

, 2013
In 2007, D.I. Panyushev defined a remarkable map on the set of nonnesting partitions (antichains in the root poset of a finite Weyl group). In this paper we use Panyushev's map, together with the well-known Kreweras complement, to construct a bijection ...
Armstrong, Drew, Stump, Christian, Thomas, Hugh   +2 more
core   +1 more source

EL-Shellability and Noncrossing Partitions Associated with Well-Generated Complex Reflection Groups

, 2014
In this article we prove that the lattice of noncrossing partitions is EL-shellable when associated with the well-generated complex reflection group of type $G(d,d,n)$, for $d,n\geq 3$, or with the exceptional well-generated complex reflection groups ...
Armstrong, Armstrong, Athanasiadis, Athanasiadis, Bessis, Bessis, Bessis, Bessis, Björner, Björner, Björner, Björner, Borchmann, Brady, Brady, Brady, Broué, Chapoton, Chevalley, Edelman, Ganter, Henri Mühle, Kreweras, Lehrer, Lehrer, McCammond, Michel, Mühle, Orlik, Orlik, Reiner, Ripoll, Shephard, Simion, Springer   +34 more
core   +1 more source

Notes on Schubert, Grothendieck and Key Polynomials [PDF]

, 2016
We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials.
Kirillov, Anatol N.
core   +3 more sources

Nonhomogeneous parking functions and noncrossing partitions

, 2008
For each skew shape we define a nonhomogeneous symmetric function, generalizing a construction of Pak and Postnikov. In two special cases, we show that the coefficients of this function when expanded in the complete homogeneous basis are given in terms ...
Armstrong, Drew, Eu, Sen-Peng
core   +1 more source