The Lie algebra structure on the first Hochschild cohomology group of a monomial algebra

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dc.creatorStrametz, C.
dc.date2001-11-06
dc.date2001-12-11
dc.date.accessioned2026-07-07T04:44:24Z
dc.date.available2026-07-07T04:44:24Z
dc.descriptionWe study the Lie algebra structure of the first Hochschild cohomology group of a finite dimensional monomial algebra A, in terms of the combinatorics of its quiver, in any characteristic. This allows us also to examine the identity component of the algebraic group of outer automorphisms of A in characteristic zero. Criteria for the (semi-)simplicity, the solvability, the reductivity, the commutativity and the nilpotency are given.
dc.description22 pages Correction of typing errors
dc.identifierhttps://arxiv.org/abs/math/0111060
dc.identifierhttp://arxiv.org/abs/math/0111060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62572
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16E40; 16W20
dc.titleThe Lie algebra structure on the first Hochschild cohomology group of a monomial algebra
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