Module categories over representations of $SL_q(2)$ and graphs
By Pavel Etingof, V. Ostrik. 2003
58 citations recorded by the source corpus.
We classify module categories over the category of representations of quantum $SL(2)$ in a case when $q$ is not a root of unity. In a case when $q$ is a root of unity we classify module categories over the semisimple subquotient of the same category.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bf7bad973d2c3375328da0e793f10b62644dc3e9
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
- A. Malkin
- M. Vybornov
- V. Ostrik
- D. Nikshych
- D. Venku Naidu
- Michael Mueger
- Alexei Davydov
- Noah Snyder
Citations in the corpus
- Quiver varieties and Lusztig's algebra (2004, methodology): “It is shown in [ 9 ] that q is a root of unity if and only if the McKay graph is a Dynkin graph of ADET type with Coxeter number h(q) (cf.”
- Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory (2012, unknown): “quantum groupoids [15, 16, 11], and Hopf–Galois actions [33, 34, 31].”