The right-normed basis for a free lie superalgebra and Lyndon-Shirshov words |
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| Authors: | E. S. Chibrikov |
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| Affiliation: | (1) Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia |
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| Abstract: | ![]()
We construct a basis for a free Lie superalgebra consisting of right-normed words ![$$[a_{i_1 } [a_{i_2 } [...[a_{i_{t - 1} } a_{i_t } ]...]]]$$](/content/l540801362v10246/10469_2006_Article_24_TeX2GIFIE1.gif) , where  are free generators. Supported By RFBR Grant No. 05-01-00230. __________ Translated from Algebra i Logika, Vol. 45, No. 4, pp. 458–483, July–August, 2006. |
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| Keywords: | Lie algebra Lyndon-Shirshov words Lie superalgebra, basis |
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