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- W2951150993 abstract "It was proved by Giambruno-Sehgal and Chang that the double Capelli polynomial of total degree $4n$ is a polynomial identity for the algebra of n by n matrices over a field F. Using a strengthened version of this result obtained by Domokos, we show that the double Capelli polynomial of total degree 4n-2 is a polynomial identity for any proper matrix subalgebra. Subsequently, we present a similar result for nonsplit extensions of full matrix algebras." @default.
- W2951150993 created "2019-06-27" @default.
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- W2951150993 date "2004-05-06" @default.
- W2951150993 modified "2023-09-27" @default.
- W2951150993 title "Polynomial Detection of Matrix Subalgebras" @default.
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