Geodesic
Special odd Hamiltonian modular Lie algebras
Wei Bai 1   ; Wende Liu 1
1 School of Mathematical Sciences Harbin Normal University 150025 Harbin, China
Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 253-263 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm6809-12-2015
Keywords: derivations finite dimensional special odd hamiltonian lie algebra mathfrak odd part mathcal generalized witt superalgebra described completely means weight space decomposition respect suitable torus application low dimensional cohomology spaces mathfrak mathcal mathfrak mathcal dimensional formulas determined

Wei Bai  1   ; Wende Liu  1

1 School of Mathematical Sciences Harbin Normal University 150025 Harbin, China 
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     title = {Special odd {Hamiltonian} modular {Lie} algebras},
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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

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