A classification of affine fully commutative elements

Abstract

We classify fully commutative elements in the affine Coxeter group of type An. We give a normal form for such elements, then we propose an application of this normal form: we lift these fully commutative elements to the affine braid group of type An and we get a form for "fully commutative braids".

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…