Polynomial identities of Lie subalgebras of M(n).
Let $K\sb{n}(F)$ denote the Lie algebra of skew symmetric matrices with coefficients in a field F. For 1 $\le\ k \le\ m$ + 1, define $a\sb{m}(k)(x\sb1,\cdots,x\sb{m};y)\:=\ \sum\sb{\sigma\in{\cal S}\sb{m}} (-1)\sp{\sigma}x\sb{\sigma(1)}\cdots x\sb{\sigma(k-1)}yx\sb{\sigma(k)}\cdots x\sb{\sigma(m)},$...
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University of Ottawa (Canada)
2009
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Online Access: | http://hdl.handle.net/10393/10367 http://dx.doi.org/10.20381/ruor-16794 |