Primitive idempotents of the group algebra \(\mathbb{C}\text{SL}(2,q)\) (Q2708423)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Primitive idempotents of the group algebra \(\mathbb{C}\text{SL}(2,q)\) |
scientific article |
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17 April 2001
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primitive idempotents
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complex group algebras
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Primitive idempotents of the group algebra \(\mathbb{C}\text{SL}(2,q)\) (English)
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Let \(p\) be an odd prime number and \(F_q\) be a finite field of order \(q=p^s\) (\(s\geq 1\)). Let \(G=\text{SL}(2,q)\) denote the group of all \(2\times 2\) matrices over \(F_q\) with determinant one. Using a result of \textit{G. J. Janusz} [Proc. Am. Math. Soc. 17, 520-523 (1966; Zbl 0151.02203)], the author finds a system of primitive idempotents of the complex group algebra \(\mathbb{C} G\).
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