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arXiv:1706.09999 [math.RT]AbstractReferencesReviewsResources

A basis theorem for the degenerate affine oriented Brauer-Clifford supercategory

Jonathan Comes, Jonathan R. Kujawa

Published 2017-06-30Version 1

We introduce the oriented Brauer-Clifford and degenerate affine oriented Brauer-Clifford supercategories. These are diagrammatically defined monoidal supercategories which provide combinatorial models for certain natural monoidal supercategories of supermodules and endosuperfunctors, respectively, for the Lie superalgebras of type Q. Our main results are basis theorems for these diagram supercategories. We also discuss connections and applications to the representation theory of the Lie superalgebra of type Q.

Comments: 37 pages, many figures
Categories: math.RT, math.CT
Subjects: 17B10, 18D10
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