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7 papers · 2 filters
Some composition determinants
J. M. Brunat, C. Krattenthaler, A. Lascoux +1
We compute two parametric determinants in which rows and columns are indexed by compositions, where in one determinant the entries are products of binomial coefficients, while in t…
The -triangle of the generalised cluster complex
Christian Krattenthaler
The -triangle is a refined face count for the generalised cluster complex of Fomin and Reading. We compute the -triangle explicitly for all irreducible finite root systems. F…
Colored-Descent Representations of Complex Reflection Groups G(r,p,n)
Eli Bagno, Riccardo Biagioli
We study the complex reflection groups G(r,p,n). By considering these groups as subgroups of the wreath products Z_r wr S_n, and by using Clifford theory, we define combinatorial p…
Advanced Determinant Calculus: A Complement
Christian Krattenthaler
This is a complement to my previous article "Advanced Determinant Calculus" (Séminaire Lotharingien Combin. 42 (1999), Article B42q, 67 pp.). In the present article, I share with t…
On the number of fully packed loop configurations with a fixed associated matching
Fabrizio Caselli, Christian Krattenthaler, Bodo Lass +1
We show that the number of fully packed loop configurations corresponding to a matching with nested arches is polynomial in if is large enough, thus essentially proving…
A q-analog of the Seidel generation of Genocchi numbers
Jiang Zeng, Jin Zhou
A new -analog of Genocchi numbers is introduced through a q-analog of Seidel's triangle associated to Genocchi numbers. It is then shown that these -Genocchi numbers have int…