Length of a Weyl group element
id:
length-of-a-weyl-group-element-194-10617304
title:
Length of a Weyl group element
text:
In mathematics, the length of an element w in a Weyl group W, denoted by l(w), is the smallest number k so that w is a product of k reflections by simple roots. (So, the notion depends on the choice of a positive Weyl chamber.) In particular, a simple reflection has length one. The function l is then an integer-valued function of W; it is a length function of W. It follows immediately from the definition that l(w−1) = l(w) and that l(ww'−1) ≤ l(w) + l(w' ).
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Length_of_a_Weyl_group_element
date created:
date modified:
2021-01-24T10:24:11Z
main entity:
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13
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