Simple bounded weight modules of $\mathfrak{sl}(\infty )$, $\mathfrak{o}(\infty )$, $\mathfrak{sp}(\infty )$

Abstract

We classify the simple bounded weight modules of $\mathfrak{sl}(\infty )$, $\mathfrak{o}(\infty )$ and $\mathfrak{sp}(\infty )$, and compute their annihilators in $U(\mathfrak{sl}(\infty ))$, $U(\mathfrak{o}(\infty ))$, $U(\mathfrak{sp}(\infty ))$, respectively.

33 pages

References in corpus (1)

• On Categories $\mathcal{O}$ for Root-Reductive Lie Algebras

Cited by in corpus (2)

• Annihilators of simple integrable weight $\mathfrak{sl}(\infty )$-modules
• On the structure of simple bounded weight modules of $\mathfrak{sl}(\infty )$, $\mathfrak{o}(\infty )$, $\mathfrak{sp}(\infty )$