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A basis theorem for the degenerate affine oriented Brauer-Clifford supercategory. (English) Zbl 1470.17005
Summary: We introduce the oriented Brauer-Clifford and degenerate affine oriented Brauer-Clifford supercategories. These are diagrammatically defined monoidal supercategories that 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.

MSC:
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
18M05 Monoidal categories, symmetric monoidal categories
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