Certain Examples of Deformed Preprojective Algebras and Geometry of Their *-Representations

dc.creatorMellit, Anton
dc.date2005-02-02
dc.date.accessioned2026-07-07T05:16:37Z
dc.date.available2026-07-07T05:16:37Z
dc.descriptionWe consider algebras $e_i Π^λ(Q) e_i$ obtained from deformed preprojective algebra of affine type $Π^λ(Q)$ and an idempotent $e_i$ for certain concrete value of the vector $λ$ which corresponds to the traces of $-1\in SU(2, C)$ in irreducible representations of finite subgroups of $SU(2, C)$. We give a certain realization of these algebras which allows us to construct the $C^*$-enveloping algebras for them. Some well-known results, including description of four projections with sum 2 happen to be a particular case of this picture.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0502055
dc.identifierhttp://arxiv.org/abs/math/0502055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74057
dc.subjectRepresentation Theory
dc.subjectOperator Algebras
dc.subject16G20; 46L05
dc.titleCertain Examples of Deformed Preprojective Algebras and Geometry of Their *-Representations
dc.typetext

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