Interval pattern avoidance for arbitrary root systems
- Author(s): Woo, Alexander;
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0611328.pdf
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 $GL_n$, interval pattern avoidance is a universal tool for characterizing which Schubert varieties have certain local properties, and where these local properties hold.