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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the Representation Theory of Lie Triple Systems


Authors: Terrell L. Hodge and Brian J. Parshall
Journal: Trans. Amer. Math. Soc. 354 (2002), 4359-4391
MSC (2000): Primary 17B99; Secondary 18G60, 20G05
Published electronically: July 8, 2002
MathSciNet review: 1926880
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Abstract: In this paper, we take a new look at the representation theory of Lie triple systems. We consider both ordinary Lie triple systems and restricted Lie triple systems in the sense of [14]. In a final section, we begin a study of the cohomology of Lie triple systems.


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Additional Information

Terrell L. Hodge
Affiliation: Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
Email: terrell.hodge@wmich.edu

Brian J. Parshall
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
Email: bjp8w@virginia.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-02-03050-7
PII: S 0002-9947(02)03050-7
Keywords: Lie triple systems, restricted Lie triple systems, cohomology, representation theory
Received by editor(s): October 1, 2001
Received by editor(s) in revised form: March 18, 2002
Published electronically: July 8, 2002
Additional Notes: Research supported in part by the National Science Foundation and a Research Development Award from Western Michigan University.
Article copyright: © Copyright 2002 American Mathematical Society