FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 4, PAGES 1015-1025
A. A. Kagarmanov
Yu. P. Razmyslov
Abstract
View as HTML
View as gif image
View as LaTeX source
Yu. P. Razmyslov has proved that for any finite dimensional
reductive Lie algebra $\mathcal G$ over a field $K$ of zero characteristic
($\dim_{K} \mathcal G = m$ ) and for its arbitrary associative
enveloping algebra $U$ with non-empty center $Z(U)$
there exists a central polynomial which is multilinear and
skew-symmetric in $k$ sets of $m$ variables for
a certain positive integer $k$ .
This result is now proved for adjoint representations
of classical simple Lie algebras of type $A_s,B_s,C_s,D_s$
and matrix Lie algebra $M_n$ over fields of positive characteristic.
All articles are published in Russian.
| Main page | Contents of the journal | News | Search |
Location: http://mech.math.msu.su/~fpm/eng/99/994/99405t.htm
Last modified: December 9, 1999