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Invariants of Lie algebras extended over...
Zusmanovich, Pasha...
Invariants of Lie algebras extended over commutative algebras without unit by Zusmanovich, Pasha ( Author )
N.A
11-01-2009
We establish results about the second cohomology with coefficients in the trivial module, symmetric invariant bilinear forms and derivations of a Lie algebra extended over a commutative associative algebra without unit. These results provide a simple unified approach to a number of questions treated earlier in completely separated ways: periodization of semisimple Lie algebras (Anna Larsson), derivation algebras, with prescribed semisimple part, of nilpotent Lie algebras (Benoist), and presentations of affine Kac-Moody algebras.
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https://arxiv.org/abs/0901.1395
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