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Original Articles

Canonical Algebras of Type (n1, n2, n3) and Kac–Moody Algebras

Pages 3297-3324 | Received 01 Sep 2012, Published online: 04 Apr 2014
 

Abstract

For each diagram Δ of type (n 1, n 2, n 3), we realize the complex Kac–Moody algebra g(Δ) of type Δ as a quotient algebra of the complex degenerate composition Lie algebra of a canonical algebra A of type (n 1, n 2, n 3) by some ideal I(A) of .

2010 Mathematics Subject Classification:

ACKNOWLEDGEMENT

This work is supported by the Chinese National Science Foundation (No. 11101084, 11071040) and the Fujian Province Nature Science Foundation (No. 2013J01005).

Notes

Communicated by D. Zacharia.

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