6533b7dafe1ef96bd126eb6a
RESEARCH PRODUCT
ON THE COLENGTH OF A VARIETY OF LIE ALGEBRAS
Mikhail ZaicevS. MishchenkoAntonio Giambrunosubject
Pure mathematicsGeneral MathematicsBounded functionLie algebraMultiplicity (mathematics)Associative propertyMathematicsdescription
We study the variety of Lie algebras defined by the identity [Formula: see text] over a field of characteristic zero. We prove that, as in the associative case, in the nth cocharacter χn of this variety, every irreducible Sn-character appears with polynomially bounded multiplicity (not greater than n2). Anyway, surprisingly enough, we also show that the colength of this variety, i.e. the total number of irreducibles appearing in χn is asymptotically equal to [Formula: see text].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-10-01 | International Journal of Algebra and Computation |