The quantum isomeric supercategory
Alistair Savage
TL;DR
This paper introduces the quantum isomeric supercategory and its affine version, providing new diagrammatic tools for studying quantum queer superalgebras in representation theory.
Contribution
It defines the quantum isomeric supercategory and its affine counterpart, extending diagrammatic categories to analyze quantum queer superalgebras.
Findings
Introduces diagrammatic supercategories for quantum queer superalgebras
Provides categorical frameworks analogous to HOMFLYPT skein categories
Enhances tools for representation theory of quantum superalgebras
Abstract
We introduce the quantum isomeric supercategory and the quantum affine isomeric supercategory. These diagrammatically defined supercategories, which can be viewed as isomeric analogues of the HOMFLYPT skein category and its affinization, provide powerful categorical tools for studying the representation theory of the quantum isomeric superalgebras (commonly known as quantum queer superalgebras).
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Quantum many-body systems