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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

9 votes
2 answers
304 views

Reference Request: Length of a reflection in a Coxeter group can be achieved by symmetric word

In a given coxeter group $(W,S)$, a reflection is an element of $W$ that can be written with a symmetric word in the generators $S$. In multiple sources, I found the following formula: $$ \mathrm …
ouimerci's user avatar
  • 152
2 votes
Accepted

Simplicial set are to cubical sets what simplicial complexes are to ...?

(This is rather an answer to the question "what is an abstract cubical complex" asked in the comments:) In this paper, Farley defines an abstract cubical complex $C$ as a collection of subsets of a g …
ouimerci's user avatar
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