Matrix zeros of quadratic equations

Galia Dafni; Leonid Vaserstein

doi:10.1016/0022-314X(88)90024-8

Matrix zeros of quadratic equations

Galia Dafni
, Leonid Vaserstein

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Given a polynomial (x - a)(x - b) with a, b in a communtative principal ideal domain A, we describe (up to similarity) all its matrix zeros. In terms of representation theory, we describe and enumerate all representations of the ring A[x] (x - a)(x - b)A[x] over A.

Original language	English (US)
Pages (from-to)	27-50
Number of pages	24
Journal	Journal of Number Theory
Volume	30
Issue number	1
DOIs	https://doi.org/10.1016/0022-314X(88)90024-8
State	Published - Sep 1988

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-314X(88)90024-8

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abstract = "Given a polynomial (x - a)(x - b) with a, b in a communtative principal ideal domain A, we describe (up to similarity) all its matrix zeros. In terms of representation theory, we describe and enumerate all representations of the ring A[x] (x - a)(x - b)A[x] over A.",

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AB - Given a polynomial (x - a)(x - b) with a, b in a communtative principal ideal domain A, we describe (up to similarity) all its matrix zeros. In terms of representation theory, we describe and enumerate all representations of the ring A[x] (x - a)(x - b)A[x] over A.

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Matrix zeros of quadratic equations

Abstract

All Science Journal Classification (ASJC) codes

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