More Like this

1. Integrable Modules Over Affine Lie Superalgebras $${\mathfrak{sl}(1|n)^{(1)}}$$sl(1|n)(1)

   https://doi.org/10.1007/s00220-018-3246-1  

   Gorelik, Maria; Serganova, Vera (December 2018, Communications in Mathematical Physics)
2. PBWD bases and shuffle algebra realizations for $$U_{\varvec{v}}(L\mathfrak {sl}_n), U_{{\varvec{v}}_1,{\varvec{v}}_2}(L\mathfrak {sl}_n), U_{\varvec{v}}(L\mathfrak {sl}(m|n))$$ and their integral forms

   https://doi.org/10.1007/s00029-021-00634-5  

   Tsymbaliuk, Alexander (July 2021, Selecta Mathematica)
3. ON CATEGORIES OF ADMISSIBLE ( g $$ \mathfrak{g} $$ , sl(2))-MODULES

   https://doi.org/10.1007/s00031-017-9458-1  

   PENKOV, I.; SERGANOVA, V.; ZUCKERMAN, G. (June 2018, Transformation Groups)
4. Super rewriting theory and nondegeneracy of odd categorified $$\mathfrak{sl}_{2}$$

   https://doi.org/10.4171/QT/185  

   Dupont, Benjamin; Ebert, Mark; Lauda, Aaron D (July 2024, Quantum Topology)

   We develop the rewriting theory for monoidal supercategories and2-supercategories. This extends the theory of higher-dimensional rewriting established for (linear) 2-categories to the super setting, providing a suite of tools for constructing bases and normal forms for2-supercategories given by generators and relations. We then employ this newly developed theory to prove the non-degeneracy conjecture for the odd categorification of quantum\mathfrak{sl}(2)from A. Ellis and A. Lauda [Quantum Topol. 7 (2016), 329–433] and J. Brundan and A. Ellis [Proc. Lond. Math. Soc. (3) 115 (2017), 925–973] As a corollary, this gives a classification of dg-structures on the odd2-category conjectured by A. Lauda and I. Egilmez [Quantum Topol. 11 (2020), 227–294]. 

   more » « less
5. On Kostant’s weight q-multiplicity formula for $$\mathfrak {sl}_{4}(\mathbb {C})$$

   https://doi.org/10.1007/s00200-020-00454-8  

   Garcia, Rebecca E.; Harris, Pamela E.; Loving, Marissa; Martinez, Lucy; Melendez, David; Rennie, Joseph; Rojas Kirby, Gordon; Tinoco, Daniel (August 2022, Applicable Algebra in Engineering, Communication and Computing)