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A Littlewood-Richardson rule for factorial Schur functions
Author(s):
Alexander
I.
Molev;
Bruce
E.
Sagan
Journal:
Trans. Amer. Math. Soc.
351
(1999),
4429-4443.
MSC (1991):
Primary 05E05;
Secondary 05E10, 17B10, 17B35, 20C30
Posted:
February 8, 1999
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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:
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
Posted:
February 8, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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