Matches in SemOpenAlex for { <https://semopenalex.org/work/W1510366593> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W1510366593 endingPage "2595" @default.
- W1510366593 startingPage "2591" @default.
- W1510366593 abstract "It is shown that the absolute length <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=l prime left-parenthesis w right-parenthesis> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>l</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>w</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>l’(w)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a Coxeter group element <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=w> <mml:semantics> <mml:mi>w</mml:mi> <mml:annotation encoding=application/x-tex>w</mml:annotation> </mml:semantics> </mml:math> </inline-formula> (i.e. the minimal length of an expression of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=w> <mml:semantics> <mml:mi>w</mml:mi> <mml:annotation encoding=application/x-tex>w</mml:annotation> </mml:semantics> </mml:math> </inline-formula> as a product of reflections) is equal to the minimal number of simple reflections that must be deleted from a fixed reduced expression of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=w> <mml:semantics> <mml:mi>w</mml:mi> <mml:annotation encoding=application/x-tex>w</mml:annotation> </mml:semantics> </mml:math> </inline-formula> so that the resulting product is equal to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=e> <mml:semantics> <mml:mi>e</mml:mi> <mml:annotation encoding=application/x-tex>e</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, the identity element. Also, <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=l prime left-parenthesis w right-parenthesis> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>l</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>w</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>l’(w)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is the minimal length of a path in the (directed) Bruhat graph from the identity element <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=e> <mml:semantics> <mml:mi>e</mml:mi> <mml:annotation encoding=application/x-tex>e</mml:annotation> </mml:semantics> </mml:math> </inline-formula> to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=w> <mml:semantics> <mml:mi>w</mml:mi> <mml:annotation encoding=application/x-tex>w</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=l prime left-parenthesis w right-parenthesis> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>l</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=false>(</mml:mo> <mml:mi>w</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>l’(w)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is determined by the polynomial <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper R Subscript e comma w> <mml:semantics> <mml:msub> <mml:mi>R</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi>e</mml:mi> <mml:mo>,</mml:mo> <mml:mi>w</mml:mi> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>R_{e,w}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of Kazhdan and Lusztig." @default.
- W1510366593 created "2016-06-24" @default.
- W1510366593 creator A5008772334 @default.
- W1510366593 date "2001-02-09" @default.
- W1510366593 modified "2023-10-16" @default.
- W1510366593 title "On minimal lengths of expressions of Coxeter group elements as products of reflections" @default.
- W1510366593 cites W1567098244 @default.
- W1510366593 cites W1978279894 @default.
- W1510366593 cites W1986067975 @default.
- W1510366593 cites W2009190506 @default.
- W1510366593 cites W2050355762 @default.
- W1510366593 cites W2068236759 @default.
- W1510366593 cites W4236771889 @default.
- W1510366593 cites W4251516845 @default.
- W1510366593 doi "https://doi.org/10.1090/s0002-9939-01-05876-2" @default.
- W1510366593 hasPublicationYear "2001" @default.
- W1510366593 type Work @default.
- W1510366593 sameAs 1510366593 @default.
- W1510366593 citedByCount "44" @default.
- W1510366593 countsByYear W15103665932012 @default.
- W1510366593 countsByYear W15103665932013 @default.
- W1510366593 countsByYear W15103665932014 @default.
- W1510366593 countsByYear W15103665932015 @default.
- W1510366593 countsByYear W15103665932016 @default.
- W1510366593 countsByYear W15103665932017 @default.
- W1510366593 countsByYear W15103665932018 @default.
- W1510366593 countsByYear W15103665932019 @default.
- W1510366593 countsByYear W15103665932020 @default.
- W1510366593 countsByYear W15103665932021 @default.
- W1510366593 countsByYear W15103665932022 @default.
- W1510366593 countsByYear W15103665932023 @default.
- W1510366593 crossrefType "journal-article" @default.
- W1510366593 hasAuthorship W1510366593A5008772334 @default.
- W1510366593 hasBestOaLocation W15103665931 @default.
- W1510366593 hasConcept C11413529 @default.
- W1510366593 hasConcept C154945302 @default.
- W1510366593 hasConcept C18903297 @default.
- W1510366593 hasConcept C2776321320 @default.
- W1510366593 hasConcept C2777299769 @default.
- W1510366593 hasConcept C41008148 @default.
- W1510366593 hasConcept C86803240 @default.
- W1510366593 hasConceptScore W1510366593C11413529 @default.
- W1510366593 hasConceptScore W1510366593C154945302 @default.
- W1510366593 hasConceptScore W1510366593C18903297 @default.
- W1510366593 hasConceptScore W1510366593C2776321320 @default.
- W1510366593 hasConceptScore W1510366593C2777299769 @default.
- W1510366593 hasConceptScore W1510366593C41008148 @default.
- W1510366593 hasConceptScore W1510366593C86803240 @default.
- W1510366593 hasIssue "9" @default.
- W1510366593 hasLocation W15103665931 @default.
- W1510366593 hasOpenAccess W1510366593 @default.
- W1510366593 hasPrimaryLocation W15103665931 @default.
- W1510366593 hasRelatedWork W1529400504 @default.
- W1510366593 hasRelatedWork W1892467659 @default.
- W1510366593 hasRelatedWork W2143954309 @default.
- W1510366593 hasRelatedWork W2333703843 @default.
- W1510366593 hasRelatedWork W2334690443 @default.
- W1510366593 hasRelatedWork W2386767533 @default.
- W1510366593 hasRelatedWork W2394022102 @default.
- W1510366593 hasRelatedWork W2469937864 @default.
- W1510366593 hasRelatedWork W2808586768 @default.
- W1510366593 hasRelatedWork W2998403542 @default.
- W1510366593 hasVolume "129" @default.
- W1510366593 isParatext "false" @default.
- W1510366593 isRetracted "false" @default.
- W1510366593 magId "1510366593" @default.
- W1510366593 workType "article" @default.