CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
  location:  PublicationsjournalsCJM
Abstract view

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

  • Jonathan Brundan,
    Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222, USA
  • Jonathan Comes,
    Department of Mathematics & Physical Sciences, The College of Idaho, Caldwell, Idaho 83605, USA
  • Jonathan Robert Kujawa,
    Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019-0315, USA
Format:   LaTeX   MathJax  

Abstract

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.
Keywords: monoidal category, supercategory, Lie superalgebra, type Q monoidal category, supercategory, Lie superalgebra, type Q
MSC Classifications: 17B10, 18D10 show english descriptions Representations, algebraic theory (weights)
Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
17B10 - Representations, algebraic theory (weights)
18D10 - Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
 

© Canadian Mathematical Society, 2019 : https://cms.math.ca/