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Lie-admissibility of vector matrix algebras

Conference · · Hadronic J.; (United States)
OSTI ID:6934958
Lie-admissibility is investigated for a 2 x 2 matrix algebra with entries in an algebra over a field F equipped with a symmetric bilinear form. When the bilinear form is nondegenerate and invariant, it is shown that this 2 x 2 vector matrix algebra is Lie-admissible if and only if it is either the 2 x 2 matrix algebra over F or a 4-dimensional simple nonflexible Lie-admissible algebra over F.
OSTI ID:
6934958
Report Number(s):
CONF-8008162-
Conference Information:
Journal Name: Hadronic J.; (United States) Journal Volume: 4:2
Country of Publication:
United States
Language:
English

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