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Sergei Silvestrov (1996)
Studia Mathematica
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
S. Tumurbat (1992)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
A. Nourou Issa (2011)
Commentationes Mathematicae Universitatis Carolinae
Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms and that the class of Hom-Akivis algebras is closed under self-morphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.
Robert Wisbauer (1975)
Journal für die reine und angewandte Mathematik
Cristina Draper Fontanals (2020)
Communications in Mathematics
For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this is an Einstein manifold.
Immervoll, Stefan (2008)
Beiträge zur Algebra und Geometrie
František Machala (1979)
Časopis pro pěstování matematiky
K. McCRIMMON (1971)
Mathematische Annalen
K. McCRIMMON (1971)
Mathematische Annalen
Mikhail Khovanov (2014)
Banach Center Publications
We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).
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