Associative algebra deformations of Connes-Moscovici's Hopf algebra H-1

作者：Fialowski Alice^*; Wagemann Friedrich

来源：Journal of Algebra, 2010, 323(7): 2026-2040.

DOI：10.1016/j.jalgebra.2009.12.033

• Hochschild cohomology
• Associative deformations
• Lie algebra cohomology
• Hochschild-Serre spectral sequence
• Feigin-Fuchs spectral sequence
• Rankin-Cohen brackets
• Connes-Moscovici's Hopf algebra

We compute the second Hochschild cohomology space HH2(H-1) of Connes-Moscovici's Hopf algebra H-1, giving the infinitesimal deformations (up to equivalence) of the associative structure. The space HH2(H-1) is shown to be one-dimensional.

• 出版日期2010-4-1