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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.

2 votes
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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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9 votes
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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