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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the Littlewood-Richardson rule for almost skew-shapes


Authors: Giandomenico Boffi and David A. Buchsbaum
Journal: Proc. Amer. Math. Soc. 136 (2008), 1155-1161
MSC (2000): Primary 05E10, 20G05; Secondary 13D25
Published electronically: December 28, 2007
MathSciNet review: 2367089
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Abstract | References | Similar Articles | Additional Information

Abstract: We describe combinatorially the coefficients occurring in the irreducible decomposition of the Weyl module associated with an almost skew-shape belonging to the family $ J$.

The proof uses the fundamental exact sequence for almost skew-shapes to initiate an inductive procedure which ultimately reduces to the classical Littlewood-Richardson rule for skew partitions.


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Additional Information

Giandomenico Boffi
Affiliation: Dipartimento di Scienze, Università “G. d’Annunzio”, Viale Pindaro 42, 65127 Pescara, Italy
Email: gboffi@unich.it

David A. Buchsbaum
Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254
Email: buchsbau@brandeis.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09339-2
PII: S 0002-9939(07)09339-2
Keywords: Almost skew-shape, Weyl module, Littlewood-Richardson rule
Received by editor(s): September 4, 2006
Published electronically: December 28, 2007
Additional Notes: The first author was partially supported by MIUR and is a member of GNSAGA - INdAM
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.