Small degree representations of finite Chevalley groups in defining characteristic
نویسندگان
چکیده
We determine for all simple simply connected reductive linear algebraic groups defined over a finite field all irreducible representations in their defining characteristic of degree below some bound. These also give the small degree projective representations in defining characteristic for the corresponding finite simple groups. For large rank l our bound is proportional to l3 and for rank 11 much higher. The small rank cases are based on extensive computer calculations.
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تاریخ انتشار 2000