The cohomology ring of the 12-dimensional Fomin-Kirillov algebra

DOI10.1016/j.aim.2016.01.001zbMath1366.18015arXiv1404.5101OpenAlexW2269010963MaRDI QIDQ2634789

Cristian Vay, Dragoş Ştefan

Publication date: 18 February 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5101

zbMATH Keywords

Fomin-Kirillov algebrasNichols bialgebrasYoneda ring

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Hopf algebras and their applications (16T05)

Related Items (11)

Homological invariants relating the super Jordan plane to the Virasoro algebra ⋮ Cohomology for Drinfeld doubles of some infinitesimal group schemes ⋮ Finite generation of some cohomology rings via twisted tensor product and Anick resolutions ⋮ Symmetries in connected graded algebras and their PBW-deformations ⋮ Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators ⋮ New approaches to finite generation of cohomology rings ⋮ Nakayama automorphism and rigidity of dual reflection group coactions ⋮ PBW deformations of a Fomin-Kirillov algebra and other examples ⋮ On the quadratic dual of the Fomin–Kirillov algebras ⋮ Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups ⋮ Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators

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