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- Title
Finite-dimensional odd Hamiltonian superalgebras over a field of prime characteristic.
- Authors
Liu, Wende; Zhang, Yongzheng
- Abstract
Let ℋ(m;t) be the finite-dimensional odd Hamiltonian superalgebra over a field of prime characteristic. By determining ad-nilpotent elements in the even part, the natural filtration of ℋ (m;t) is proved to be invariant in the following sense: If ϕ: ℋ (m;t) → ℋ (m′t′) is an isomorphism then ϕ(ℋ(m;t)i) = ℋ (m′ t′) i for all i ≥ –1. Using the result, we complete the classification of odd Hamiltonian superalgebras. Finally, we determine the automorphism group of the restricted odd Hamiltonian superalgebra and give further properties.
- Publication
Journal of the Australian Mathematical Society, 2005, Vol 79, Issue 1, p113
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788700009368