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
.
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.