The inverse of a real generalized Cartan matrix

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dc.creatorZhang, Hechun
dc.date2002-12-16
dc.date.accessioned2026-07-07T04:53:48Z
dc.date.available2026-07-07T04:53:48Z
dc.descriptionThe purpose of this note is to give explicit criteria to determine whether a real generalized Cartan matrix is of finite type, affine type or of hyperbolic type by considering the principal minors and the inverse of the matrix. In particular, it will be shown that a real generalized Cartan matrix is of finite type if and only if it is invertible and the inverse is a positive matrix. A real generalized Cartan matrix is of hyperbolic type if and only if it is invertible and the inverse is non-positive.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0212207
dc.identifierhttp://arxiv.org/abs/math/0212207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65999
dc.subjectRepresentation Theory
dc.subject15A09; 15A48; 17B67
dc.titleThe inverse of a real generalized Cartan matrix
dc.typetext

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