I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 2, PAGES 435-451
V. M. Zhuravlev
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In the article we consider verbal ideals of the free finite-generated
Lie algebras over field of zero characteristic.
This ideals are connected with an action of the universal envelopment
algebra of the Lie algebra of derivations of a free
finite-generated Lie algebra.
We estimate the multiplicities of the irreducible components in the
modules of the concequences of the identities.
For the homogeneous identities which generate the irreducible module
In the case two-generated of the free Lie algebra we also find the vectors oldest weight in these irreducible components.
All articles are published in Russian.
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Last modified: January 13, 2000