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On a polynomial identity for n × n matrices

✍ Scribed by A Giambruno; S.K Sehgal


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
120 KB
Volume
126
Category
Article
ISSN
0021-8693

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The complex orthogonal group O n acts on the n × n matrices, M n , by restricting the adjoint action of GL n . This action provides us with an action on the ring of complex valued polynomial functions on the n × n matrices, M n . The polynomials of degree d, denoted d M n , form a finite dimensiona