Not-so-small representations of SL2 in the nite Morley rank category
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چکیده
In this article we consider representations of SL2 which are interpretable in nite Morley rank theories, meaning that inside a universe of nite Morley rank we shall study the following de nable objects: a group G isomorphic to SL2, an abelian group V , and an action of G on V ; V is thus a de nable G-module on which G acts de nably. Our goal will be to identify V with a standard Gmodule, under an assumption on its Morley rank. (A word on this notion of rank will be said shortly, after we have stated the results.) It will be convenient to work with a faithful representation, possibly replacing SL2 by the quotient PSL2, and we shall write G ' (P)SL2 to cover both cases.
منابع مشابه
Small representations of SL2 in the nite Morley rank category
In this article we consider representations of SL2 which are interpretable in nite Morley rank theories, meaning that inside a universe of nite Morley rank we shall study the following de nable objects: a group G isomorphic to SL2, an abelian group V , and an action of G on V ; V is thus a de nable G-module on which G acts de nably. Our goal will be to identify V with a standard Gmodule, under ...
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تاریخ انتشار 2009