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Author Geer, Nathan ♦ Kujawa, Jonathan ♦ Patureau-Mirand, Bertrand
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-01-06
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Representation Theory ♦ 18D10 ♦ 19D23 ♦ math
Abstract In this paper we use topological techniques to construct generalized trace and modified dimension functions on ideals in certain ribbon categories. Examples of such ribbon categories naturally arise in representation theory where the usual trace and dimension functions are zero, but these generalized trace and modified dimension functions are non-zero. Such examples include categories of finite dimensional modules of certain Lie algebras and finite groups over a field of positive characteristic and categories of finite dimensional modules of basic Lie superalgebras over the complex numbers. These modified dimensions can be interpreted categorically and are closely related to some basic notions from representation theory.
Educational Use Research
Learning Resource Type Article
Page Count 44


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