Browsing by Author "Grantcharov, Dimitar"

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Bounded Weight Modules for Basic Classical Lie Superalgebras at Infinity

[OWP-2022-09] Grantcharov, Dimitar; Penkov, Ivan; Serganova, Vera (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-30)

We classify simple bounded weight modules over the complex simple Lie superalgebras $\mathfrak{sl}(\infty |\infty)$ and $\mathfrak{osp} (m | 2n)$ , when at least one of $m$ and $n$ equals $\infty$ . For $\mathfrak{osp} (m | ...
Tensor Representations of q(∞)

[OWP-2016-09] Grantcharov, Dimitar; Serganova, Vera (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)

We introduce a symmetric monoidal category of modules over the direct limit queer superalgebra $\mathfrak{q}(\infty)$ . The category can be defined in two equivalent ways with the aid of the large annihilator condition. ...