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Defining Relations for the Algebra of Invariants of 2×2 Matrices

✍ Scribed by Vesselin Drensky

Book ID
110433453
Publisher
Springer Netherlands
Year
2003
Tongue
English
Weight
174 KB
Volume
6
Category
Article
ISSN
1386-923X

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Let F q be the finite field with q elements, q ¼ p n ; p 2 N a prime, and Mat 2:2 ðF q Þ the vector space of 2 Â 2-matrices over F. The group GLð2; FÞ acts on Mat 2;2 ðF q Þ by conjugation. In this note, we determine the invariants of this action. In contrast to the case of an infinite field, where

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