✦ LIBER ✦

Stanley Symmetric Functions and Quiver Varieties

✍ Scribed by Anders Skovsted Buch

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 141 KB
Volume: 235
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8478

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✦ Synopsis

We prove that the coefficients obtained when Stanley symmetric functions are expanded in the basis of Schur functions are special cases of the coefficients in the Ž formula for quiver varieties given by the author and W. Fulton 1999, In¨ent. Math.

. 135, 665᎐687 , and we discuss the relations of this with a conjectured Littlewood᎐ Richardson rule for these quiver coefficients. In addition we generalize a factorization formula for Schubert polynomials of a product of two permutations. ᮊ 2001 Academic Press w 1 2 l l

proved that this power series is symmetric. This implies that it can be 1 We thank S. Fomin, W. Fulton, and F. Sottile for helpful discussions.

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