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

Authors

MÁTYÁS DOMOKOS

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

Recommended Citation

DOMOKOS, M (2022). Bound for the cocharacters of the identities of irreducible representations of $\mathfrak{sl}_2(\mathbb{C})$. Turkish Journal of Mathematics 46 (5): 1749-1758. https://doi.org/10.55730/1300-0098.3230