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Filtrations for q-Young modules

Published online by Cambridge University Press:  24 October 2008

Stuart Martin
Affiliation:
Magdalene College, Cambridge, CB3 0AG

Abstract

We show that, over suitable rings, q-Young modules for the Hecke algebra of type A have a filtration by q-Specht modules. The multiplicities are also determined.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

REFERENCES

[1]Cline, E., Parshall, B. J. and Scott, L. L.. Finite-dimensional algebras and highest weight categories. J. reine angew. Math. 391 (1988), 8599.Google Scholar
[2]Dipper, R. and Donkin, S.. Quantum GLn. Proc. L.M.S. 63 (1991), 165211.CrossRefGoogle Scholar
[3]Dipper, R. and James, G. D.. Representations of Hecke algebras and general linear groups. Proc. L.M.S. 52 (1986), 2052.CrossRefGoogle Scholar
[4]Dipper, R. and James, G. D.. The q-Schur algebra. Proc. L.M.S. 59 (1989), 2350.CrossRefGoogle Scholar
[5]Dipper, R. and James, G. D.. q-tensor space and q-Weyl modules. Trans. A.M.S. 327 (1991), 251282.Google Scholar
[6]Donkin, S.. Rational representations of algebraic groups. LNM vol. 1140 (1985), Springer, Berlin.CrossRefGoogle Scholar
[7]Donkin, S.. On Schur algebras and related algebras II. J. Algebra 111 (1987), 354364.CrossRefGoogle Scholar
[8]Erdmann, K.. Symmetric groups and quasi-hereditary algebras, to appear.Google Scholar
[9]Green, J. A.. Locally finite representations. J. Algebra 41 (1976), 137171.CrossRefGoogle Scholar
[10]Green, J. A.. Polynomial representations of GLn. LNM vol. 830 (1980), Springer, Berlin.Google Scholar
[11]Martin, S.. Projective indecomposable modules for symmetric groups I. Quart. J. Math. Oxford (2) 44 (1993), 8799.CrossRefGoogle Scholar
[12]Parshall, B. J. and Wang, J-P.. Quantum linear groups. Mem. A.M.S. vol. 89 no. 143 (1991).Google Scholar