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On the uniqueness of orthogonal decompositions of Lie algebras of type $$A_n$$ and $$C_n$$. II. (Russian) Zbl 0536.17005
[For part I see the preceding review Zbl 0536.17004.] Let $$L$$ be a finite dimensional complex simple Lie algebra. An orthogonal decomposition $$L=\oplus H_j$$ is an orthogonal sum (relative to the Killing form) of Cartan subalgebras $$H_j$$. The main result of the paper states that an orthogonal decomposition of a simple Lie algebra of type $$C_2$$ is unique up to conjugation. The authors indicate an explicit form of orthogonal decompositions of $$L=C_2$$ containing the Cartan subalgebra $$H_0\subset L$$ of all diagonal matrices.

##### MSC:
 17B20 Simple, semisimple, reductive (super)algebras
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