Allan Berele

activity

20142025

collaborators

3 papers

math.RA2025

Integrality and Specialized Symmetric Functions

Allan Berele

Given $d_{1}, \dots, d_{k}$ in the field $F$ , there is a weighted trace function $F^{k} \to F$ given by $t r (x_{1}, \dots, x_{k}) = \sum d_{i} x_{i}$ . We prove that $F^{k}$ satisfies trace identi…

math.RA2015

Footnotes to a paper by Domokos

Allan Berele

The paper of Domokos is "Invariants of quivers and wreath products," and as in that paper we use Regev's double centralizer theorem for wreath products to study trace identities an…

math.RA2014

$J$ -trace identities and invariant theory

Allan Berele

We generalize the notion of trace identity to $J$ -trace. Our main result is that all $J$ -traces of $M_{n, n}$ are consequence of those of degree $\frac{1}{2} n (n + 3)$ . This also gives a…

Integrality and Specialized Symmetric Functions

Footnotes to a paper by Domokos

J-trace identities and invariant theory

$J$ -trace identities and invariant theory