期刊
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
卷 106, 期 -, 页码 908-930出版社
WILEY
DOI: 10.1112/plms/pds062
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资金
- NSF [DMS-0901241, DMS-1201374]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1839351] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0901241, 1201374] Funding Source: National Science Foundation
Let G be a finite simple group of Lie type, and let pi(G) be the permutation representation of G associated with the action of G on itself by conjugation. We prove that every irreducible complex representation of G is a constituent of pi(G), unless G=PSUn(q) and n >= 3 is coprime to 2(q+1), where precisely one irreducible representation fails. We also prove that every irreducible representation of G is a constituent of the tensor square St circle times St of the Steinberg representation St of G, with the same exceptions as in the previous statement.
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