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Quotients of the Highwater algebra and its cover [PDF]

open access: yesJournal of Algebra, 2023
Primitive axial algebras of Monster type are a class of non-associative algebras with a strong link to finite (especially simple) groups. The motivating example is the Griess algebra, with the Monster as its automorphism group. A crucial step towards the
Mario Mainardis
exaly   +3 more sources

On Covers of Perfect Lie Algebras

Algebra Colloquium, 2011
A Lie algebra is said to be perfect when it coincides with its derived subalgebra. The paper is devoted to give a complete structure of covers of perfect Lie algebras. Also, similar to a result of Alperin and Gorenstein (1966) in group theory, it is shown that every automorphism of a finite dimensional perfect Lie algebra may be lifted to an ...
Salemkar, Ali Reza   +2 more
openaire   +1 more source

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