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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

Henan Wu
School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. China


\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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