2007Journal of Mathematical Research and ExpositionRequires access

Derivations of Infinite-Dimensional Odd Hamiltonian Modular Lie Superalgebra

Wende Liu

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Abstract

The paper first gives the generators of infinite-dimensional odd Hamiltonian modular Lie superalgebra,then determines the derivation space of odd Hamiltonian modular Lie superalgebra to the generalized Witt modular Lie superalgebra.Furthermore,the derivation algebra of infinite-dimensional odd Hamiltonian modular Lie superalgebra is determined.

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What this paper is about

The paper first gives the generators of infinite-dimensional odd Hamiltonian modular Lie superalgebra,then determines the derivation space of odd Hamiltonian modular Lie superalgebra to the generalized Witt modular Lie superalgebra.Furthermore,the derivation algebra of infinite-dimensional odd Hamiltonian modular Lie superalgebra is determined.

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Available abstract

The paper first gives the generators of infinite-dimensional odd Hamiltonian modular Lie superalgebra,then determines the derivation space of odd Hamiltonian modular Lie superalgebra to the generalized Witt modular Lie superalgebra.Furthermore,the derivation algebra of infinite-dimensional odd Hamiltonian modular Lie superalgebra is determined.

Key concepts: Lie superalgebra, Supermatrix, Mathematics, Superalgebra, Hamiltonian (control theory), Modular design, Pure mathematics, Lie algebra

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