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pro vyhledávání: '"Berele, Allan"'
We study algebras satisfying a two-term multilinear identity, namely one of the form $x_1\cdots x_n=qx_{\sigma(1)}\cdots x_{\sigma(n)}$, where $q$ is a parameter from the base field. We show that such algebras with $q=1$ and $\sigma$ not fixing~1 or~
Externí odkaz:
http://arxiv.org/abs/2407.09666
Autor:
Berele, Allan
We study the Poincar\'e series of the mixed and pure trace rings of generic matrices. These series are known to be rational functions. We obtain an explicit formula in lowest terms in the case of $2\times2$ matrices; a denominator, which we presume b
Externí odkaz:
http://arxiv.org/abs/2208.06392
Autor:
Berele, Allan1 (AUTHOR), Catoiu, Stefan1 (AUTHOR) scatoiu@depaul.edu
Publikováno v:
Aequationes Mathematicae. Feb2024, Vol. 98 Issue 1, p275-285. 11p.
Autor:
Berele, Allan, Catoiu, Stefan
Publikováno v:
In Advances in Applied Mathematics June 2022 137
Akademický článek
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Autor:
Berele, Allan
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 and invariant theory. In addition to extending to other algebras and gro
Externí odkaz:
http://arxiv.org/abs/1501.03236
Autor:
Berele, Allan
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 $\frac12n(n + 3)$. This also gives an indirect description of the queer trace identities of $M_n(E)$.
Externí odkaz:
http://arxiv.org/abs/1408.0837
Publikováno v:
The American Mathematical Monthly, 2019 Jun 01. 126(6), 564-565.
Externí odkaz:
https://www.jstor.org/stable/48661199