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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A Littlewood-Richardson rule for
factorial Schur functions


Authors: Alexander I. Molev and Bruce E. Sagan
Journal: Trans. Amer. Math. Soc. 351 (1999), 4429-4443
MSC (1991): Primary 05E05; Secondary 05E10, 17B10, 17B35, 20C30
Published electronically: February 8, 1999
MathSciNet review: 1621694
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

Alexander I. Molev
Affiliation: School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia
Email: alexm@maths.usyd.edu.au

Bruce E. Sagan
Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027
Email: sagan@math.msu.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02381-8
PII: S 0002-9947(99)02381-8
Keywords: Capelli operator, factorial Schur function, Littlewood-Richardson rule, quantum immanant, Young tableau
Received by editor(s): September 2, 1997
Received by editor(s) in revised form: January 15, 1998
Published electronically: February 8, 1999
Article copyright: © Copyright 1999 American Mathematical Society