Derivations from the even parts into the odd parts for Hamiltonian superalgebras

Yuan Chang; Liangyun Chen

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arXiv · 1605.08280

Derivations from the even parts into the odd parts for Hamiltonian superalgebras

Yuan Chang·Liangyun Chen

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Abstract

Let $W_{\overline{1}}$ and $H_{\overline{0}}$ denote the odd parts of the general Witt modular Lie superalgebra $W$ and the even parts of the Hamiltonian Lie superalgebra $H$ over a field of characteristic $p>3$, respectively. We give a torus of $H_{\overline{0}}$ and the weight space decomposition of the special subalgebra of $W_{\overline{1}}$ with respect to the torus. By means of the derivations of the weight 0 and three series of outer derivations from $H_{\overline{0}}$ into $W_{\overline{1}}$, the derivations from the even parts of Hamiltonian superalgebra to the odd parts of Witt superalgebra are determined.

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Yuan Chang, Liangyun Chen. 2016-05-24. Derivations from the even parts into the odd parts for Hamiltonian superalgebras. https://arxiv.org/abs/1605.08280

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