Representations of Lie-Yamaguti algebras with semisimple enveloping Lie algebras

Homogeneous spaces (22F30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Ternary compositions (17A40)

Cites Work

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Quandle varieties, generalized symmetric spaces, and \(\phi\)-spaces
Irreducible Lie-Yamaguti algebras of generic type
Irreducible Lie-Yamaguti algebras
A classifying invariant of knots, the knot quandle
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From racks to pointed Hopf algebras
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Lie-Yamaguti algebras related to \(\mathfrak g_2\)
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Symmetric bundles and representations of Lie triple systems
Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
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A twisted generalization of Lie-Yamaguti algebras
Representations and cohomologies of Hom-Lie–Yamaguti algebras with applications
Deformations and extensions of Lie–Yamaguti algebras
DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
Quandle cohomology and state-sum invariants of knotted curves and surfaces
Modules over quandle spaces and representations of Lie-Yamaguti algebras
Nijenhuis operators, product structures and complex structures on Lie–Yamaguti algebras
Continuous cohomology of topological quandles
TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS
A Note on Simple Anti-Commutative Algebras Obtained from Reductive Homogeneous Spaces
A Structure Theory of Lie Triple Systems
Invariant Affine Connections on Homogeneous Spaces
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Topologies, posets and finite quandles
Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem

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