Journal of Lie Theory

no. 4
Cohomology of the Heisenberg-Virasoro Conformal Algebra
Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1187-1197
\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.
DOI: 10.5802/jolt.929
Classification: 17B65, 17B68
Keywords: Heisenberg-Virasoro conformal algebra, conformal module, cohomology 
@article{JOLT_2016_26_4_a11,
     author = {L. Yuan and H. Wu},
     title = {Cohomology of the {Heisenberg-Virasoro} {Conformal} {Algebra}},
     journal = {Journal of Lie Theory},
     pages = {1187--1197},
     year = {2016},
     volume = {26},
     number = {4},
     doi = {10.5802/jolt.929},
     zbl = {1410.17026},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.929/}
}
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L. Yuan; H. Wu. Cohomology of the Heisenberg-Virasoro Conformal Algebra. Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1187-1197. doi: 10.5802/jolt.929

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