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- Length_of_a_Weyl_group_element abstract "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' ).".
- Length_of_a_Weyl_group_element wikiPageID "39251565".
- Length_of_a_Weyl_group_element wikiPageLength "889".
- Length_of_a_Weyl_group_element wikiPageOutDegree "4".
- Length_of_a_Weyl_group_element wikiPageRevisionID "675276895".
- Length_of_a_Weyl_group_element wikiPageWikiLink Category:Lie_groups.
- Length_of_a_Weyl_group_element wikiPageWikiLink Length_function.
- Length_of_a_Weyl_group_element wikiPageWikiLink Positive_Weyl_chamber.
- Length_of_a_Weyl_group_element wikiPageWikiLink Weyl_group.
- Length_of_a_Weyl_group_element wikiPageWikiLinkText "Length of a Weyl group element".
- Length_of_a_Weyl_group_element wikiPageWikiLinkText "length of a Weyl group element".
- Length_of_a_Weyl_group_element wikiPageWikiLinkText "length".
- Length_of_a_Weyl_group_element hasPhotoCollection Length_of_a_Weyl_group_element.
- Length_of_a_Weyl_group_element wikiPageUsesTemplate Template:Cite_book.
- Length_of_a_Weyl_group_element wikiPageUsesTemplate Template:See_also.
- Length_of_a_Weyl_group_element subject Category:Lie_groups.
- Length_of_a_Weyl_group_element hypernym K.
- Length_of_a_Weyl_group_element type School.
- Length_of_a_Weyl_group_element type Thing.
- Length_of_a_Weyl_group_element comment "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' ).".
- Length_of_a_Weyl_group_element label "Length of a Weyl group element".
- Length_of_a_Weyl_group_element seeAlso Longest_element_of_a_Coxeter_group.
- Length_of_a_Weyl_group_element sameAs m.0t_dxpw.
- Length_of_a_Weyl_group_element sameAs Q16937449.
- Length_of_a_Weyl_group_element sameAs Q16937449.
- Length_of_a_Weyl_group_element wasDerivedFrom Length_of_a_Weyl_group_element?oldid=675276895.
- Length_of_a_Weyl_group_element isPrimaryTopicOf Length_of_a_Weyl_group_element.