Transactions of the American Mathematical Society

Author(s): Terrell L. Hodge; Brian J. Parshall
Journal: Trans. Amer. Math. Soc. 354 (2002), 4359-4391.
MSC (2000): Primary 17B99; Secondary 18G60, 20G05
Posted: July 8, 2002
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 17B99, 18G60, 20G05

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: 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
Posted: July 8, 2002
Additional Notes: Research supported in part by the National Science Foundation and a Research Development Award from Western Michigan University.
Copyright of article: Copyright 2002, American Mathematical Society

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