Bound for the cocharacters of the identities of irreducible representations of $\mathfrak{sl}_2(\mathbb{C})$

Authors

MÁTYÁS DOMOKOS

DOI

10.55730/1300-0098.3230

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.

Keywords

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

First Page

1749

Last Page

1758

Recommended Citation

DOMOKOS, MÁTYÁS (2022) "Bound for the cocharacters of the identities of irreducible representations of $\mathfrak{sl}_2(\mathbb{C})$," Turkish Journal of Mathematics: Vol. 46: No. 5, Article 9. https://doi.org/10.55730/1300-0098.3230
Available at: https://journals.tubitak.gov.tr/math/vol46/iss5/9