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Iterated loop
algebras
Bruce Allison, Stephen Berman and Arturo Pianzola |
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Vol. 227 (2006), No. 1, 1–41
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Abstract |
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Iterated loop algebras are by definition obtained by repeatedly applying the loop construction, familiar from the theory of affine Kac–Moody Lie algebras, to a given base algebra. Our interest in this iterated construction is motivated by its use in the realization of extended affine Lie algebras, but the construction also appears naturally in the study of other classes of algebras. This paper consists of a detailed study of the basic properties of iterated loop algebras. |
Keywords
loop algebra, Lie algebra, associative algebra, Jordan
algebra
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Mathematical Subject Classification 2000
Primary: 17B65
Secondary: 17B67, 16S99, 17C99, 17D05, 17A01
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Milestones
Received: 16 December 2004
Accepted: 26 April 2005
Published: 1 September 2006
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Authors |
| Bruce Allison | |
| Department of Mathematical and
Statistical Sciences University of Alberta Edmonton, AB Canada T6G 2G1 |
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| Stephen Berman | |
| Department of Mathematics and
Statistics University of Saskatchewan Saskatoon, SK Canada S7N 5E6 |
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| Arturo Pianzola | |
| Department of Mathematical and
Statistical Sciences University of Alberta Edmonton, AB Canada T6G 2G1 |
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