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Autor:
Desmet, Jari
We show that a primitive axial algebra of Jordan type $\eta = \tfrac{1}{2}$ is a Jordan algebra if and only if every $2$-generated subalgebra is \emph{solid}, a notion introduced recently by Ilya Gorshkov, Sergey Shpectorov and Alexei Staroletov. As
Externí odkaz:
http://arxiv.org/abs/2403.18808
Autor:
Desmet, Jari
Recently, Maurice Chayet and Skip Garibaldi introduced a class of commutative non-associative algebras. In previous work, we gave an explicit description of these algebras for groups of type $G_2,F_4$ and certain forms of $E_6$ in terms of octonion a
Externí odkaz:
http://arxiv.org/abs/2401.01660
Autor:
Desmet, Jari
Very recently, Maurice Chayet and Skip Garibaldi have introduced a class of commutative non-associative algebras, for each simple linear algebraic group over an arbitrary field (with some minor restriction on the characteristic). In a previous paper,
Externí odkaz:
http://arxiv.org/abs/2306.06910
Autor:
Desmet, Jari
Very recently, Maurice Chayet and Skip Garibaldi have introduced a class of commutative non-associative algebras, for each simple linear algebraic group over an arbitrary field (with some minor restriction on the characteristic). We give an explicit
Externí odkaz:
http://arxiv.org/abs/2204.05913
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