Subalgebras of free restricted Lie Algebras
Bryant, Roger; Kovacs, L; Stohr, R
Description
A theorem independently due to A.I. Shirshov and E. Witt asserts that every subalgebra of a free Lie algebra (over a field) is free. The main step in Shirshov's proof is a little known but rather remarkable result: if a set of homogeneous elements in a free Lie algebra has the property that no element of it is contained in the subalgebra generated by the other elements, then this subset is a free generating set for the subalgebra it generates. Witt also proved that every subalgebra of a free...[Show more]
Collections | ANU Research Publications |
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Date published: | 2005 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/85220 |
Source: | Bulletin of the Australian Mathematical Society |
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01_Bryant_Subalgebras_of_free_restricted_2005.pdf | 974.42 kB | Adobe PDF | Request a copy |
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