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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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 $G$.
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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