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
The goal of the thesis is to introduce the basics of the theory of superalgebras, that is Z2-graded ...
We begin by recalling some basic definitions from Lie algebra theory to motivate our subsequent tran...
We introduce the notion of a diagram category and discuss its application to the invariant theory of...
We introduce the oriented Brauer-Clifford and degenerate affine oriented Brauer-Clifford supercatego...
We define the affine VW supercategory $\mathit{s}\hspace{-0.7mm}\bigvee\mkern-15mu\bigvee$, which ar...
We introduce the PBW degeneration for basic classical Lie superalgebras and construct for all type I...
This dissertation uses techniques from the theory of categorical actions of Kac-Moody algebras to st...
In this thesis, we will study the theory of superalgebras, which are algebras with a C2-grading. On...
We define a diagrammatic monoidal category, together with a full and essentially surjective monoidal...
AbstractWe derive a general result about commuting actions on certain objects in braided rigid monoi...
Let $B$ be a $\mathbb{Z}$-graded Lie superalgebra equipped with an invariant $\mathbb{Z}_2$-symmetri...
AbstractWe study generalized Lie superalgebras (an extension of Kac's generalized Lie superalgebras)...
We derive a general result about commuting actions on certain objects in braided rigid monoidal cate...
We give an analog of a Chevalley-Serre presentation for the Lie superalgebras W(n) and S(n) of Carta...
In the first part of this dissertation, we construct a monoidal supercategory whose morphism spaces ...
The goal of the thesis is to introduce the basics of the theory of superalgebras, that is Z2-graded ...
We begin by recalling some basic definitions from Lie algebra theory to motivate our subsequent tran...
We introduce the notion of a diagram category and discuss its application to the invariant theory of...
We introduce the oriented Brauer-Clifford and degenerate affine oriented Brauer-Clifford supercatego...
We define the affine VW supercategory $\mathit{s}\hspace{-0.7mm}\bigvee\mkern-15mu\bigvee$, which ar...
We introduce the PBW degeneration for basic classical Lie superalgebras and construct for all type I...
This dissertation uses techniques from the theory of categorical actions of Kac-Moody algebras to st...
In this thesis, we will study the theory of superalgebras, which are algebras with a C2-grading. On...
We define a diagrammatic monoidal category, together with a full and essentially surjective monoidal...
AbstractWe derive a general result about commuting actions on certain objects in braided rigid monoi...
Let $B$ be a $\mathbb{Z}$-graded Lie superalgebra equipped with an invariant $\mathbb{Z}_2$-symmetri...
AbstractWe study generalized Lie superalgebras (an extension of Kac's generalized Lie superalgebras)...
We derive a general result about commuting actions on certain objects in braided rigid monoidal cate...
We give an analog of a Chevalley-Serre presentation for the Lie superalgebras W(n) and S(n) of Carta...
In the first part of this dissertation, we construct a monoidal supercategory whose morphism spaces ...
The goal of the thesis is to introduce the basics of the theory of superalgebras, that is Z2-graded ...
We begin by recalling some basic definitions from Lie algebra theory to motivate our subsequent tran...
We introduce the notion of a diagram category and discuss its application to the invariant theory of...