Hochschild cohomology of U(sl2)

DOI10.1080/00927872.2018.1508577zbMath1471.17041arXiv1504.06757OpenAlexW2908851209MaRDI QIDQ5231156

Matthew Towers

Publication date: 26 August 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06757

zbMATH Keywords

universal enveloping algebrasHochschild cohomologyLie algebrasdivided powers

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• Koszul duality and modular representations of semisimple Lie algebras
• Cyclic homology of enveloping algebras
• Extensions of modules for \(\text{SL}(2,K)\)
• \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
• Rational actions associated to the adjoint representation
• The center of the universal enveloping algebra of a Lie algebra in characteristic $p$