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| Titel: |
Simple Components of Q[SL(2,q)] |
| Auteur: |
Janusz, G. J. |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 1 (1974) nr. 1 pagina's 1-22 |
| Jaar: |
1974 |
| Inhoud: |
The object of this paper is the calculation of the simple direct summands of the group algebra Q[G] when G = SL(2,q). We assume the character table of G is available and make the computation from that information. There is a well known procedure for finding the number of simple components. For each irreducible complex character γ, one forms the sum γ + γτ + … of all the algebraic conjugates of γ. The sums obtained this way correspond one-to-one with the simple components. The dimension over Q of a simple component is determined from the characters corresponding to it. Furthermore, it is a full matrix ring over a division ring. Aside from the information obtained from the character table, then, all that is needed is a knowledge of the division rings that occur. The main result of the paper identifies the division rings in the simple component corresponding to the irreducible characters of G. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 5 gevonden artikelen
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