Traces of root monodromy operators on sl(3) parabolic Verma modules are partial theta functions of special type, obtained via branching rules for root sl(2) subalgebras.
”Pure braid group actions on cat- egory O.” arXiv preprint arXiv:2208.05331 (2022)
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Partial theta-series and branching rules for the $\sl(3)$ parabolic Verma modules
Traces of root monodromy operators on sl(3) parabolic Verma modules are partial theta functions of special type, obtained via branching rules for root sl(2) subalgebras.