The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero

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dc.creatorSanchez-Flores, Selene
dc.date2007-11-18
dc.date2008-09-05
dc.date.accessioned2026-07-07T10:00:30Z
dc.date.available2026-07-07T10:00:30Z
dc.descriptionWe study the Lie module structure given by the Gerstenhaber bracket on the Hochschild cohomology groups of a monomial algebra with radical square zero. The description of such Lie module structure will be given in terms of the combinatorics of the quiver. The Lie module structure will be related to the classification of finite dimensional modules over simple Lie algebras when the quiver is given by the two loops and the ground field is the complex numbers.
dc.identifierhttps://arxiv.org/abs/0711.2810
dc.identifierhttp://arxiv.org/abs/0711.2810
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168338
dc.subjectRepresentation Theory
dc.subject16E40, 16E25
dc.titleThe Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero
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