Cohomology of the Heisenberg-Virasoro Conformal Algebra
Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1187-1197

Voir la notice de l'article provenant de la source Heldermann Verlag

\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.
Classification : 17B65, 17B68
Mots-clés : Heisenberg-Virasoro conformal algebra, conformal module, cohomology

Lamei Yuan  1   ; Henan Wu  2

1 Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080, P. R. China
2 School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. China
Lamei Yuan; Henan Wu. Cohomology of the Heisenberg-Virasoro Conformal Algebra. Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1187-1197. http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a11/
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     author = {Lamei Yuan and Henan Wu},
     title = {Cohomology of the {Heisenberg-Virasoro} {Conformal} {Algebra}},
     journal = {Journal of Lie Theory},
     pages = {1187--1197},
     year = {2016},
     volume = {26},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a11/}
}
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