Add to ORKGWe present a purely combinatorial proof by means of an explicit bijection, of the exact number of dominant regions having as a separating wall the hyperplane associated to the longest root in the m-extended Shi hyperplane arrangement of type A and dimension n-1
Abstract. The Shi arrangement is the set of all hyperplanes in Rn of the form xj − xk = 0 or 1 for 1...
galacInternational audienceWe show new bijective proofs of previously known formulas for the number ...
Abstract. The set of dominant regions of the k-Catalan arrangement of a crystallographic root system...
We present a purely combinatorial proof by means of an explicit bijection, of the exact number of do...
International audienceAthanasiadis introduced separating walls for a region in the extended Shi arra...
AbstractThe Shi arrangement Ln is the arrangement of affine hyperplanes in Rn of the form xi − xj = ...
. The Shi arrangement Sn is the arrangement of affine hyperplanes in R n of the form x i \Gamma x ...
AbstractIt is well-known that Catalan numbers Cn=1n+1(2nn) count the number of dominant regions in t...
Abstract. The number of regions of the type An−1 Shi arrangement in Rn is counted by the intrinsical...
It is well-known that Catalan numbers $C_n = \frac{1}{n+1} \binom{2n}{n}$ count the number ...
Abstract. The Shi hyperplane arrangement Shi(n) was introduced by Shi to study the Kazhdan-Lusztig c...
International audienceIt is well-known that Catalan numbers $C_n = \frac{1}{ n+1} \binom{2n}{n}$ cou...
AbstractWe give an interpretation for the coefficients of the two variable refinement DSn(q,t) of th...
Given a Shi arrangement $\mathcal{A}_\Phi$, it is well-known that the total number of regions is cou...
AbstractFor a crystallographic root system, dominant regions in the Catalan hyperplane arrangement a...
Abstract. The Shi arrangement is the set of all hyperplanes in Rn of the form xj − xk = 0 or 1 for 1...
galacInternational audienceWe show new bijective proofs of previously known formulas for the number ...
Abstract. The set of dominant regions of the k-Catalan arrangement of a crystallographic root system...
We present a purely combinatorial proof by means of an explicit bijection, of the exact number of do...
International audienceAthanasiadis introduced separating walls for a region in the extended Shi arra...
AbstractThe Shi arrangement Ln is the arrangement of affine hyperplanes in Rn of the form xi − xj = ...
. The Shi arrangement Sn is the arrangement of affine hyperplanes in R n of the form x i \Gamma x ...
AbstractIt is well-known that Catalan numbers Cn=1n+1(2nn) count the number of dominant regions in t...
Abstract. The number of regions of the type An−1 Shi arrangement in Rn is counted by the intrinsical...
It is well-known that Catalan numbers $C_n = \frac{1}{n+1} \binom{2n}{n}$ count the number ...
Abstract. The Shi hyperplane arrangement Shi(n) was introduced by Shi to study the Kazhdan-Lusztig c...
International audienceIt is well-known that Catalan numbers $C_n = \frac{1}{ n+1} \binom{2n}{n}$ cou...
AbstractWe give an interpretation for the coefficients of the two variable refinement DSn(q,t) of th...
Given a Shi arrangement $\mathcal{A}_\Phi$, it is well-known that the total number of regions is cou...
AbstractFor a crystallographic root system, dominant regions in the Catalan hyperplane arrangement a...
Abstract. The Shi arrangement is the set of all hyperplanes in Rn of the form xj − xk = 0 or 1 for 1...
galacInternational audienceWe show new bijective proofs of previously known formulas for the number ...
Abstract. The set of dominant regions of the k-Catalan arrangement of a crystallographic root system...