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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📜 SIMILAR VOLUMES
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
We introduce and solve exactly a family of invariant 2 × 2 random matrices, depending on one parameter η, and we show that rotational invariance and real Dyson index β are not incompatible properties. The probability density for the entries contains a weight function and a multiple trace-trace inter