Geodesic
On the Schur function expansion of a symmetric quasi-symmetric function
Ira M. Gessel1
1Brandeis University
The electronic journal of combinatorics, Tome 26 (2019) no. 4
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Egge, Loehr, and Warrington proved a formula for the Schur function expansion of a symmetric function in terms of its expansion in fundamental quasi-symmetric functions. Their formula involves the coefficients of a modified inverse Kostka matrix. Recently Garsia and Remmel gave a simpler reformulation of Egge, Loehr, and Warrington's result, with a new proof. We give here a simple proof of Garsia and Remmel's version, using a sign-reversing involution.
DOI : 10.37236/8163
Classification : 05E05

Ira M. Gessel  1

1 Brandeis University 
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Ira M. Gessel. On the Schur function expansion of a symmetric quasi-symmetric function. The electronic journal of combinatorics, Tome 26 (2019) no. 4. doi: 10.37236/8163

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