Geodesic
Hochschild Cohomology of Polynomial Representations of $\mathrm{GL}_2$
Documenta mathematica, Tome 23 (2018), pp. 117-170
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We compute the Hochschild cohomology algebras of Ringel-self-dual blocks of polynomial representations of GL2​ over an algebraically closed field of characteristic p>2, that is, of any block whose number of simple modules is a power of p. These algebras are finite-dimensional and we provide an explicit description of their bases and multiplications.
DOI : 10.4171/dm/615
Classification : 16E45, 20G05
Mots-clés : Hochschild cohomology, Koszul duality, GL2​, differential graded algebras 
@article{10_4171_dm_615,
     author = {Will Turner and Vanessa Miemietz},
     title = {Hochschild {Cohomology} of {Polynomial} {Representations} of $\mathrm{GL}_2$},
     journal = {Documenta mathematica},
     pages = {117--170},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/615},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/615/}
}
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Will Turner; Vanessa Miemietz. Hochschild Cohomology of Polynomial Representations of $\mathrm{GL}_2$. Documenta mathematica, Tome 23 (2018), pp. 117-170. doi: 10.4171/dm/615

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