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- W2409168902 abstract "We prove that in a locally finite dimensional Lie algebra L, any maximal, locally solvable subalgebra is the stabilizer of a maximal, generalized flag in an integrable, faithful module over L. Then we prove two structure theorems for simple, locally finite dimensional Lie algebras over an algebraically closed field of characteristic p which give sufficient conditions for the algebras to be of the form [K(R, [asterisk]), K(R, [asterisk])]/(Z(R) [intersection] [K(R, [asterisk]), K(R, [asterisk])]) for a simple, locally finite dimensional associative algebra R with involution [asterisk]. Lastly, we explore the noncommutative geometry of locally simple representations of the diagonal locally finite Lie algebras sl(n[infinity]), o(n[infinity]), and sp(n[infinity])" @default.
- W2409168902 created "2016-06-24" @default.
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- W2409168902 date "2015-01-01" @default.
- W2409168902 modified "2023-09-28" @default.
- W2409168902 title "Locally finite dimensional Lie algebras" @default.
- W2409168902 hasPublicationYear "2015" @default.
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