Browsing 2022 by MSC "17"

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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 | ...
On a Conjecture of Khoroshkin and Tolstoy

[OWP-2022-14] Appel, Andrea; Gautam, Sachin; Wendlandt, Curtis (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-02)

We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal $R$ -matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from ...