A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory
Canadian journal of mathematics, Tome 71 (2019) no. 5, pp. 1061-1101

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DOI

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.
DOI : 10.4153/CJM-2018-030-8
Mots-clés : monoidal category, supercategory, Lie superalgebra, type Q
Brundan, Jonathan; Comes, Jonathan; Kujawa, Jonathan Robert. A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory. Canadian journal of mathematics, Tome 71 (2019) no. 5, pp. 1061-1101. doi: 10.4153/CJM-2018-030-8
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     author = {Brundan, Jonathan and Comes, Jonathan and Kujawa, Jonathan Robert},
     title = {A {Basis} {Theorem} for the {Degenerate} {Affine} {Oriented} {Brauer{\textendash}Clifford} {Supercategory}},
     journal = {Canadian journal of mathematics},
     pages = {1061--1101},
     year = {2019},
     volume = {71},
     number = {5},
     doi = {10.4153/CJM-2018-030-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-030-8/}
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