12 Citations
Affine Oriented Frobenius Brauer Categories and General Linear Lie Superalgebras
- Mathematics
- 2021
To any Frobenius superalgebra A we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer categeory. We define natural actions of these categories on categories of…
Diagrammatics for real supergroups
- Mathematics
- 2023
We introduce two families of diagrammatic monoidal supercategories. The first family, depending on an associative superalgebra, generalizes the oriented Brauer category. The second, depending on an…
One-dimensional topological theories with defects: the linear case
- Mathematics
- 2022
. The paper studies the Karoubi envelope of a one-dimensional topological theory with defects and inner endpoints, defined over a field. It turns out that the Karoubi envelope is determined by a…
Affine wreath product algebras with trace maps of generic parity
- MathematicsCommunications in Algebra
- 2022
Abstract The goal of this article is to study the structure and representation theory of affine wreath product algebras and its cyclotomic quotients These algebras appear naturally in Heisenberg…
Affine oriented Frobenius Brauer categories
- MathematicsCommunications in Algebra
- 2022
Abstract To any Frobenius superalgebra A we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer category. We define natural actions of these categories on…
Super rewriting theory and nondegeneracy of odd categorified sl(2)
- Mathematics
- 2021
We develop the rewriting theory for monoidal supercategories and 2-supercategories. This extends the theory of higher-dimensional rewriting established for (linear) 2-categories to the super setting,…
Group partition categories
- MathematicsJournal of Combinatorial Algebra
- 2021
To every group $G$ we associate a linear monoidal category $\mathcal{P}\mathit{ar}(G)$ that we call a group partition category. We give explicit bases for the morphism spaces and also an efficient…
Affinization of monoidal categories
- MathematicsJournal de l’École polytechnique — Mathématiques
- 2020
We define the affinization of an arbitrary monoidal category $\mathcal{C}$, corresponding to the category of $\mathcal{C}$-diagrams on the cylinder. We also give an alternative characterization in…
Heisenberg Categorification and Wreath Deligne Category
- Mathematics
- 2020
We define a faithful linear monoidal functor from the partition category, and hence from Deligne’s category Rep(St), to the additive Karoubi envelope of the Heisenberg category. We show that the…
References
SHOWING 1-10 OF 34 REFERENCES
“A and B”:
- PhysicsSophonisba Breckinridge
- 2019
Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification
- MathematicsProgress in Mathematics
- 2021
Heisenberg and Kac–Moody categorification
- MathematicsSelecta Mathematica
- 2020
We show that any Abelian module category over the (degenerate or quantum) Heisenberg category satisfying suitable finiteness conditions may be viewed as a 2-representation over a corresponding…
Monoidal Categories and Topological Field Theory
- Economics
- 2017
The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria.…
A Category for the Adjoint Representation
- Mathematics
- 2000
Abstract We construct an abelian category C and exact functors in C which on the Grothendieck group descend to the action of a simply laced quantum group in its adjoint representation. The braid…
Quantum Affine Wreath Algebras
- MathematicsDocumenta Mathematica
- 2020
To each symmetric algebra we associate a family of algebras that we call quantum affine wreath algebras. These can be viewed both as symmetric algebra deformations of affine Hecke algebras of type…
Unfurling Khovanov-Lauda-Rouquier algebras
- Mathematics
- 2016
In this paper, we study the behavior of categorical actions of a Lie algebra $\mathfrak{g}$ under the deformation of their spectra. We give conditions under which the general point of a family of…