Factorizations in Schubert Cells
نویسندگان
چکیده
منابع مشابه
Factorizations in Schubert cells
For any reduced decomposition i = (i1, i2, . . . , iN ) of a permutation w and any ring R we construct a bijection Pi : (x1, x2, . . . , xN ) 7→ Pi1(x1)Pi2(x2) · · · PiN (xN ) from R to the Schubert cell of w, where Pi1(x1), Pi2(x2), . . . , PiN (xN ) stand for certain elementary matrices satisfying Coxeter-type relations. We show how to factor explicitly any element of a Schubert cell into a p...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2000
ISSN: 0001-8708
DOI: 10.1006/aima.1999.1862