Derivations from a finite-dimensional special odd Hamiltonian Lie algebra $\mathfrak {G}$ into the odd part $\mathcal {W}$ of a generalized Witt superalgebra are described completely by means of a weight space decomposition with respect to a suitable torus. As an application, the low-dimensional cohomology spaces $H^{0}(\mathfrak {G}; \mathcal {W})$, $H^{1}(\mathfrak {G}; \mathcal {W})$ and the dimensional formulas for them are determined.
@article{10_4064_cm6809_12_2015,
author = {Wei Bai and Wende Liu},
title = {Special odd {Hamiltonian} modular {Lie} algebras},
journal = {Colloquium Mathematicum},
pages = {253--263},
year = {2017},
volume = {146},
number = {2},
doi = {10.4064/cm6809-12-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6809-12-2015/}
}
TY - JOUR
AU - Wei Bai
AU - Wende Liu
TI - Special odd Hamiltonian modular Lie algebras
JO - Colloquium Mathematicum
PY - 2017
SP - 253
EP - 263
VL - 146
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm6809-12-2015/
DO - 10.4064/cm6809-12-2015
LA - en
ID - 10_4064_cm6809_12_2015
ER -
%0 Journal Article
%A Wei Bai
%A Wende Liu
%T Special odd Hamiltonian modular Lie algebras
%J Colloquium Mathematicum
%D 2017
%P 253-263
%V 146
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6809-12-2015/
%R 10.4064/cm6809-12-2015
%G en
%F 10_4064_cm6809_12_2015
Wei Bai; Wende Liu. Special odd Hamiltonian modular Lie algebras. Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 253-263. doi: 10.4064/cm6809-12-2015
