Details

Autor(en) / Beteiligte

• Auyeung, Shamuel
• Guu, Jin-Cheng
• Hu, Jiahao

Titel

On the algebra generated by μ ¯ , ∂ ¯ , ∂ , μ \overline{\mu },\overline{\partial },\partial ,\mu

Ist Teil von

• Complex manifolds (Warsaw, Poland), 2023-06, Vol.10 (1), p.561-584

Ort / Verlag

De Gruyter

Erscheinungsjahr

2023

Quelle

EZB Free E-Journals

Beschreibungen/Notizen

• In this note, we determine the structure of the associative algebra generated by the differential operators , and that act on complex-valued differential forms of almost complex manifolds. This is done by showing that it is the universal enveloping algebra of the graded Lie algebra generated by these operators and determining the structure of the corresponding graded Lie algebra. We then determine the cohomology of this graded Lie algebra with respect to its canonical inner differential , as well as its cohomology with respect to all its inner differentials.