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On homomorphisms between Weyl modules and Specht modules

Published online by Cambridge University Press:  24 October 2008

R. W. Carter  and
M. T. J. Payne
R. W. Carter
Affiliation:
University of Warwick, Coventry
M. T. J. Payne
Affiliation:
University of Warwick, Coventry
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Extract

The aim of this paper is to generalize a result of Carter and Lusztig(1) proving the existence of certain non-zero homomorphisms between Weyl modules for the special linear group SLn(K) over an infinite field of characteristic p, and between Specht modules for the symmetric group Sr over K.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 3 , May 1980 , pp. 419 - 425
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

(1)Carter, R. W. and Lusztig, G.On the modular representations of the general linear and symmetric groups. Math. Zeit. 136 (1974), 193–242.CrossRefGoogle Scholar
(2)Humphreys, J. E.Introduction to Lie algebras and representation theory (Springer, 1972).CrossRefGoogle Scholar