Canonical Algebras of Type (n 1, n 2, n 3) and Kac–Moody Algebras: Communications in Algebra: Vol 42, No 8

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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 .

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

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