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arxiv: 1712.05299 · v1 · pith:6HZTZZ6Hnew · submitted 2017-12-14 · 🧮 math.RT

Extensions between Verma modules for dihedral groups

classification 🧮 math.RT
keywords extensionsmodulesvermadihedralgroupsbimodulesblockcategory
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Computing the extensions between Verma modules is in general a very difficult problem. Using Soergel bimodules, one can construct a graded version of the principal block of Category $\mathcal{O}$ for any finite coxeter group. In this setting, we compute the extensions between Verma modules for dihedral groups.

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