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Small representations of SL2 in the finite Morley rank category

Published online by Cambridge University Press:  12 March 2014

Gregory Cherlin  and
Adrien Deloro
Gregory Cherlin
Affiliation:
Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA, E-mail: cherlin@math.rutgers.edu
Adrien Deloro
Affiliation:
Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 4, Place Jussieu, 75252 Paris Cedex 05, France, E-mail: adeloro@math.jussieu.fr
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Abstract

We study definable irreducible actions of SL2 on an abelian group of Morley rank ≤ 3rk and prove they are rational representations of the group.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 3 , September 2012 , pp. 919 - 933
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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