Geodesic
Cohomology in singular blocks of parabolic category $\mathcal{O}$
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 555-568

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DOI

We determine the dimensions of $\textrm{Ext}$-groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category $\mathcal{O}$ for complex semisimple Lie algebras and affine Kac-Moody algebras.
DOI : 10.1017/S0017089523000113
Mots-clés : cohomology, Lie algebra, Kac-Moody algebra, Koszul duality 
Gruber, Jonathan. Cohomology in singular blocks of parabolic category $\mathcal{O}$. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 555-568. doi: 10.1017/S0017089523000113
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     title = {Cohomology in singular blocks of parabolic category $\mathcal{O}$},
     journal = {Glasgow mathematical journal},
     pages = {555--568},
     year = {2023},
     volume = {65},
     number = {3},
     doi = {10.1017/S0017089523000113},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000113/}
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