Results 71 to 80 of about 2,366 (219)
How to get the weak order out of a digraph ? [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$$n-1$, $B$$n$, $Ã$$n$, and the flag weak order on the wreath ...
Francois Viard
doaj +1 more source
On the cohomology of Coxeter groups
Journal of Pure and Applied Algebra, 2001 See the review in Zbl 0943.20038.
openaire +3 more sources
A categorification of combinatorial Auslander–Reiten quivers
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We provide a categorification of Oh and Suh's combinatorial Auslander–Reiten quivers in the simply laced case. We work within the perfectly valued derived category pvd(ΠQ)$\mathrm{pvd}(\Pi _Q)$ of the 2‐dimensional Ginzburg dg algebra of a Dynkin quiver Q$Q$.
Ricardo Canesin
wiley +1 more source
On the Topology of the Cambrian Semilattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
doaj +1 more source
Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
Journal of Group Theory, 2023 Abstract By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups and their automorphism groups.
Paris, Luis, Varghese, Olga
openaire +3 more sources
Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
A note on maximal length elements in conjugacy classes of finite coxeter groups [PDF]
, 2010 The maximal lengths of elements in each of the conjugacy classes of Coxeter groups of types $B_n$, $D_n$ and $E_6$ are determined.
Rowley, P.J. +2 more
core
, 2022 Coxeter groups are a special class of groups generated by involutions. They play important roles in the various areas of mathematics. This survey particularly focuses on how one uses Coxeter groups to construct interesting examples of discrete subgroups ...
Marquis, Ludovic, Lee, Gye-Seon
core
Some remarks on the algebraic structure of the finite Coxeter group F4
International Journal of Mathematics and Mathematical Sciences, 1999 We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
doaj +1 more source
Symmetry of the Pyritohedron and Lattices
Sultan Qaboos University Journal for Science, 2016 The pyritohedron consisting of twelve identical but non regular pentagonal faces and its dual pseudoicosahedron that possess the pyritohedral (Th) symmetry play an essential role in understanding the crystallographic structures with the pyritohedral ...
Nazife O. Koca +3 more
doaj +1 more source