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Poincaré series of semi-invariants of 2×2 matrices

✍ Scribed by Mátyás Domokos


Book ID
108360518
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
109 KB
Volume
310
Category
Article
ISSN
0024-3795

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Invariants of 2×2-Matrices over Finite F
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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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