Turkish Journal of Mathematics
Article Title
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
