A Monoid for the Grassmannian Bruhat Order
نویسندگان
چکیده
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 1 , the Grassmaniann 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 1 .
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 20 شماره
صفحات -
تاریخ انتشار 1999