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ON A PAIRING BETWEEN SYMMETRIC POWER MODULES

Published online by Cambridge University Press:  02 August 2012

FRAZER JARVIS*
Affiliation:
School of Mathematics and Statistics, University of Sheffield, Hicks Building, Sheffield S3 7RH, UK e-mail: [email protected]
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Abstract

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We prove, using purely combinatorial methods, that there is a pairing

\begin{linenomath} $$\Sym^a\Q^2\times\Sym^a\Q^2\lra\Q$$ \end{linenomath}
with an M2(ℚ)-equivariance property.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

REFERENCES

1.Crane, M., Raising the levels of Hilbert modular forms, PhD Thesis (University of Sheffield, Sheffield, UK, 2007).Google Scholar
2.Jordan, B. and Livné, R., Integral Hodge theory and congruences between modular forms, Duke Math. J. 80 (1995), 419484.CrossRefGoogle Scholar
3.Kisin, M., Moduli of finite flat group schemes, and modularity, Ann. Math. 170 (2009), 10851180.CrossRefGoogle Scholar
4.Taylor, R., On Galois representations associated to Hilbert modular forms, Invent. Math. 98 (1989), 265280.Google Scholar