Lifting a 5-dimensional representation of $M_{11}$ to a complex unitary representation of a certain amalgam
Abstract
We lift the $5$-dimensional characteristic $3$ representation of $M_{11}$ to a complex representation of the amalgam ${\rm GL}(2,3)*_{D_8}S_{4}$, and consider its reduction (mod $p$) for other odd primes.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2015
- DOI:
- 10.48550/arXiv.1502.00520
- arXiv:
- arXiv:1502.00520
- Bibcode:
- 2015arXiv150200520R
- Keywords:
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- Mathematics - Representation Theory;
- 20C20