no code implementations • 2 Sep 2020 • Thomas Creutzig, Robert McRae, Jinwei Yang
We show that the Kazhdan-Lusztig category $KL_k$ of level-$k$ finite-length modules with highest-weight composition factors for the affine Lie superalgebra $\widehat{\mathfrak{gl}(1|1)}$ has vertex algebraic braided tensor supercategory structure, and that its full subcategory $\mathcal{O}_k^{fin}$ of objects with semisimple Cartan subalgebra actions is a tensor subcategory.
Quantum Algebra High Energy Physics - Theory Representation Theory 17B65, 17B69, 18M15, 81T40
