Geodesic
Interval Pattern Avoidance for Arbitrary Root Systems
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 757-762

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DOI

We extend the idea of interval pattern avoidance defined by Yong and the author for ${{S}_{n}}$ to arbitrary Weyl groups using the definition of pattern avoidance due to Billey and Braden, and Billey and Postnikov. We show that, as previously shown by Yong and the author for $\text{G}{{\text{L}}_{n}}$ , interval pattern avoidance is a universal tool for characterizing which Schubert varieties have certain local properties, and where these local properties hold.
DOI : 10.4153/CMB-2010-080-2
Mots-clés : 14M15, 05E15 
Woo, Alexander. Interval Pattern Avoidance for Arbitrary Root Systems. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 757-762. doi: 10.4153/CMB-2010-080-2
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     author = {Woo, Alexander},
     title = {Interval {Pattern} {Avoidance} for {Arbitrary} {Root} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {757--762},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-080-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-080-2/}
}
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