Superrigid subgroups of solvable Lie groups

Author:
Dave Witte

Journal:
Proc. Amer. Math. Soc. **125** (1997), 3433-3438

MSC (1991):
Primary 22E40; Secondary 22E25, 22E27, 22G05

DOI:
https://doi.org/10.1090/S0002-9939-97-04147-6

MathSciNet review:
1423339

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Abstract: Let be a discrete subgroup of a simply connected, solvable Lie group , such that has the same Zariski closure as . If is any finite-dimensional representation of , we show that virtually extends to a continuous representation of . Furthermore, the image of is contained in the Zariski closure of the image of . When is not discrete, the same conclusions are true if we make the additional assumption that the closure of is a finite-index subgroup of (and is closed and is continuous).

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Additional Information

**Dave Witte**

Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078

Email:
dwitte@math.okstate.edu

DOI:
https://doi.org/10.1090/S0002-9939-97-04147-6

Received by editor(s):
June 21, 1996

Communicated by:
Roe Goodman

Article copyright:
© Copyright 1997
American Mathematical Society