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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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.
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
@article{10_4153_CJM_2018_030_8,
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/}
}
TY - JOUR AU - Brundan, Jonathan AU - Comes, Jonathan AU - Kujawa, Jonathan Robert TI - A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory JO - Canadian journal of mathematics PY - 2019 SP - 1061 EP - 1101 VL - 71 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-030-8/ DO - 10.4153/CJM-2018-030-8 ID - 10_4153_CJM_2018_030_8 ER -
%0 Journal Article %A Brundan, Jonathan %A Comes, Jonathan %A Kujawa, Jonathan Robert %T A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory %J Canadian journal of mathematics %D 2019 %P 1061-1101 %V 71 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-030-8/ %R 10.4153/CJM-2018-030-8 %F 10_4153_CJM_2018_030_8
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