Journal of Lie Theory 26 (2016), No. 4, 1187--1197
Copyright Heldermann Verlag 2016
Cohomology of the Heisenberg-Virasoro Conformal Algebra
Lamei Yuan
Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080, P. R. China
lmyuan@hit.edu.cn
Henan Wu
School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. China
wuhenan@sxu.edu.cn
[Abstract-pdf]
\def\C{\mathbb{C}} We compute the cohomology groups of the Heisenberg-Virasoro conformal algebra with coefficients in its modules $\C,\C_a$ and $M_{\Delta,\alpha,\beta}$. In particular, we completely determine the cohomology groups with trivial coefficients both for the basic and reduced complexes.
Keywords: Heisenberg-Virasoro conformal algebra, conformal module, cohomology.
MSC: 17B65, 17B68
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