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A Monoid for the Grassmannian Bruhat Order

✍ Scribed by N Bergeron; F Sottile

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 189 KB
Volume: 20
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1999.0283

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✦ Synopsis

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 ∞ , the Grassmannian Bruhat order. Here we present a monoid M related to this order. We develop a notion of reduced sequences for M and show that M is analogous to the nil-Coxeter monoid for the weak order on S ∞ .

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