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Web page: Alexandru I. Suciu | Created: October 25, 2001 |
| Maintained by: Misha Kogan | URL: http://www.math.neu.edu/~GASC/gas/billey.html |
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| A
root system description of pattern avoidance with
applications to Schubert varieties |
| Abstract: Pattern avoidance has been used to classify
several notions for permutations and signed permutations. In this talk,
we propose a new generalization of pattern avoidance which can be applied
to all root systems and their Weyl groups. The main theorem shows that
for any semisimple Lie group $G$ and maximal Borel subgroup $B$, smooth
Schubert varieties in $G/B$ can be characterized by this new method with
a very short list of patterns.
This is joint work with A. Postnikov. |
|
Web page: Alexandru I. Suciu | Created: October 25, 2001 |
| Maintained by: Misha Kogan | URL: http://www.math.neu.edu/~GASC/gas/billey.html |