New tensor products on Leibniz bimodules induce Grothendieck rings that are alternative power-associative commutative Jordan rings for finite-dimensional solvable Leibniz algebras but neither alternative nor Jordan for non-zero semi-simple ones in char 0.
Block: New simple Lie algebras of prime characteristi c, Trans
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Tensor products of Leibniz bimodules and Grothendieck rings
New tensor products on Leibniz bimodules induce Grothendieck rings that are alternative power-associative commutative Jordan rings for finite-dimensional solvable Leibniz algebras but neither alternative nor Jordan for non-zero semi-simple ones in char 0.