A Littlewood-Richardson rule for factorial Schur functions
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- by Alexander I. Molev and Bruce E. Sagan PDF
- Trans. Amer. Math. Soc. 351 (1999), 4429-4443 Request permission
Abstract:
We give a combinatorial rule for calculating the coefficients in the expansion of a product of two factorial Schur functions. It is a special case of a more general rule which also gives the coefficients in the expansion of a skew factorial Schur function. Applications to Capelli operators and quantum immanants are also given.References
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Additional Information
- Alexander I. Molev
- Affiliation: School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia
- MR Author ID: 207046
- Email: alexm@maths.usyd.edu.au
- Bruce E. Sagan
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027
- MR Author ID: 152890
- Email: sagan@math.msu.edu
- Received by editor(s): September 2, 1997
- Received by editor(s) in revised form: January 15, 1998
- Published electronically: February 8, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 4429-4443
- MSC (1991): Primary 05E05; Secondary 05E10, 17B10, 17B35, 20C30
- DOI: https://doi.org/10.1090/S0002-9947-99-02381-8
- MathSciNet review: 1621694