Marc de Montigny 1996 J. Phys. A: Math. Gen. 29 4019 doi:10.1088/0305-4470/29/14/025
Graded contractions of affine Lie algebras
Marc de Montigny
Show affiliationsThe method of graded contractions, based on the preservation of automorphisms of finite order, is applied to the affine Lie algebras and their representations, to yield a new class of infinite-dimensional Lie algebras and representations. After the introduction of the horizontal and vertical gradings, and the algorithm to find the horizontal toroidal gradings, some general properties of the graded contractions are discussed and compared with the Inönü - Wigner contractions. The example of 
is discussed in detail.
- PACS
- MSC
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17B65 Infinite-dimensional Lie (super)algebras (See also 22E65)
- Subjects
- Dates
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Issue 14 (21 July 1996)
Received 3 January 1996, in final form 15 April 1996
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Graded contractions of affine Lie algebras
Marc de Montigny 1996 J. Phys. A: Math. Gen. 29 4019
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