Malcev-Admissible Algebras |
Contents
POWERASSOCIATIVE MALCEVADMISSIBLE ALGEBRAS | 55 |
INVARIANT OPERATORS IN SIMPLE LIE ALGEBRAS | 149 |
MALCEVADMISSIBLE ALGEBRAS WITH THE SOLVABLE | 205 |
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abelian adjoint algebra of type algebra over F algebra with product algebras of characteristic alternative algebra arbitrary Assume basis Cartan decomposition Cartan subalgebra central simple commutative algebra commutative product Corollary D-submodule denote derivation dim Hom direct sum F of characteristic field F field of characteristic finite-dimensional flexible algebra flexible Lie-admissible algebra flexible Malcev-admissible algebra follows fourth power-associative G₂ gives graph h₁ hence homomorphism idempotent implies irreducible L-module isomorphic Jordan algebra Killing form Lemma Lie module linear form M₂ Malcev algebra mapping Math matrix Myung nil-index nilalgebra nilpotent non-Lie nondegenerate nonzero octonion algebra Okubo power-associative products Proof pseudo-octonion algebra quasi-classical root S₁ scalar simple flexible Malcev-admissible simple Lie algebra simple Malcev algebra solvable radical split simple summands symmetric bilinear form Theorem 4.3 third power-associative vector space zero α α χε Α χες