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We prove a theorem of splitting for the nonabelian tensor product $$L \otimes N$$ L ⊗ N of a pair (L, N) of Lie algebras L and N in terms of its diagonal ideal $$L \square N$$ L □ N and of the nonabelian exterior product $$L \wedge N$$ L ∧ N . A similar circumstance was described few years ago in the special case $$N=L$$ N = L . The interest is due to the fact that the size of $$L \square N$$ L □ N influences strongly the structure of $$L \otimes N$$ L ⊗ N .
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Aug 30, 2017
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