Coxeter quiver representations in fusion categories and Gabriel's theorem

DOI10.1007/s00029-024-00947-1MaRDI QIDQ6574270

Edmund Heng

Publication date: 18 July 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

quiversquantum groupsroot systemsfusion categoriesCoxeter-Dynkin diagrams

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Root systems (17B22) Fusion categories, modular tensor categories, modular functors (18M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embeddings of root systems. I: Root systems over commutative rings.
• The half-twist for \(U_q(\mathfrak g)\) representations
• Foldings of root systems and Gabriel's theorem
• On algebras of finite representation type
• Module categories, weak Hopf algebras and modular invariants
• On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
• On symmetric fusion categories in positive characteristic
• Classifying fusion categories \(\otimes\)-generated by an object of small Frobenius-Perron dimension
• On fusion categories.
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• ON DUBROVIN TOPOLOGICAL FIELD THEORIES
• Lectures on Chevalley Groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• On the root system of a coxeter group
• Indecomposable representations of graphs and algebras
• Quasicrystals and icosians
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• Tensor Categories
• Quantum invariants of knots and 3-manifolds
• Introduction to quantum groups

This page was built for publication: Coxeter quiver representations in fusion categories and Gabriel's theorem