The second cohomology of simple $SL_2$-modules
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- by David I. Stewart PDF
- Proc. Amer. Math. Soc. 138 (2010), 427-434 Request permission
Abstract:
Let $G$ be the simple algebraic group $SL_2$ defined over an algebraically closed field $K$ of characteristic $p>0$. In this paper, we compute the second cohomology of all irreducible representations of $G$.References
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Additional Information
- David I. Stewart
- Affiliation: Department of Mathematics, Imperial College, London, SW7 2AZ, United Kingdom
- MR Author ID: 884527
- Email: davis.stewart06@imperial.ac.uk
- Received by editor(s): April 3, 2009
- Received by editor(s) in revised form: April 9, 2009
- Published electronically: September 14, 2009
- Additional Notes: This paper was prepared towards the author’s Ph.D. qualification under the supervision of Prof. M. W. Liebeck, with financial support from the EPSRC. We would like to thank Professor Liebeck for his help in producing this paper. Additional thanks are due to the anonymous referee, who made very helpful suggestions for improvements to the paper.
- Communicated by: Jonathan I. Hall
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 427-434
- MSC (2000): Primary 20G05, 20G10, 20G40; Secondary 20J06, 20C20
- DOI: https://doi.org/10.1090/S0002-9939-09-10088-6
- MathSciNet review: 2557160