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Pattern avoidance and the Bruhat order

โœ Scribed by Bridget Eileen Tenner


Book ID
108167207
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
223 KB
Volume
114
Category
Article
ISSN
0097-3165

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A Monoid for the Grassmannian Bruhat Ord
โœ N Bergeron; F Sottile ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 189 KB

Structure constants for the multiplication of Schubert polynomials by Schur symmetric polynomials are related to the enumeration of chains in a new partial order on S โˆž , the Grassmannian Bruhat order. Here we present a monoid M related to this order. We develop a notion of reduced sequences for M a