The quantum isomeric supercategory

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).

39 pages; v2: corrected Remark 4.10 and other minor corrections; v3: published version

References in corpus (5)

• Representations of the oriented skein category
• Quantum Frobenius Heisenberg categorification
• On the geometry and representation theory of isomeric matrices
• Affinization of monoidal categories
• On the Harish-Chandra Homomorphism for Quantum Superalgebras

Cited by in corpus (2)

• Central elements and evaluation map for the quantum queer superalgebras
• Interpolation categories for Conformal Embeddings