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Turkish Journal of Mathematics

Abstract

For each irreducible finite dimensional representation of the Lie algebra $\mathfrak{sl}_2(\mathbb{C})$ of $2\times 2$ traceless matrices, an explicit uniform upper bound is given for the multiplicities in the cocharacter sequence of the polynomial identities satisfied by the given representation.

DOI

10.55730/1300-0098.3230

Keywords

Weak polynomial identities, simple Lie algebra, irreducible representation, cocharacter sequence

First Page

1749

Last Page

1758

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