Cross-projective representations of pairs of anticommutative algebras, alloys and finite-dimensional irreducible representations of some infinite-dimensional Lie algebras

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dc.creatorJuriev, Denis V.
dc.date1998-06-02
dc.date.accessioned2026-07-07T05:24:54Z
dc.date.available2026-07-07T05:24:54Z
dc.descriptionThe article is devoted to some ``strange'' phenomena of representation theory and their interrelations. Cross-projective representations of pairs of anticommutative algebras, alloys, their universal envelopping Lie algebras and their representations, quaternary algebras and their alloyability are discussed. Considered examples allow to conclude that new representations have some intriguing features (continuous moduli of finite-dimensional irreducible representations, sophisticated Clebsch-Gordan coefficient calculus, etc.).
dc.descriptionAMSTEX
dc.identifierhttps://arxiv.org/abs/math/9806005
dc.identifierhttp://arxiv.org/abs/math/9806005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76987
dc.subjectRepresentation Theory
dc.titleCross-projective representations of pairs of anticommutative algebras, alloys and finite-dimensional irreducible representations of some infinite-dimensional Lie algebras
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