Finite-dimensional odd Hamiltonian superalgebras over a field of prime characteristic
2005 ◽
Vol 79
(1)
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pp. 113-130
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Keyword(s):
AbstractLet 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.
2003 ◽
Vol 46
(2)
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pp. 164-177
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Keyword(s):
Keyword(s):
1979 ◽
Vol 46
(3)
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pp. 613-633
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2007 ◽
Vol 17
(03)
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pp. 527-555
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2013 ◽
Vol 275
(1-2)
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pp. 389-401
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