Auflistung nach Autor "Penkov, Ivan"

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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 | ...
Real group orbits on flag ind-varieties of SL (∞, C)

[OWP-2016-01] Ignatyev, Mikhail V.; Penkov, Ivan; Wolf, Joseph A. (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)

We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$ , $SU(p,\infty)$ , $SL(\infty,\mathbb{R})$ , $SL(\infty,\mathbb{H})$ . Our main object of study are the $G^0$ -orbits on ...