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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Degrees of irreducible characters of $ (B,\,N)$-pairs of types $ E\sb{6}$ and $ E\sb{7}$


Author: David B. Surowski
Journal: Trans. Amer. Math. Soc. 243 (1978), 235-249
MSC: Primary 20C15; Secondary 16A25
MathSciNet review: 502905
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Abstract: Let G be a finite (B, N)-pair whose Coxeter system is of type $ {E_6}$ or $ {E_7}$. Let $ 1_B^G$ be the permutation character of the action of G on the left cosets of the Borel subgroup B in G. In this paper we give the character degrees of the irreducible constituents of $ 1_B^G$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0502905-2
PII: S 0002-9947(1978)0502905-2
Keywords: System of (B, N) pairs, irreducible characters, generic algebras, generic degrees, specializations
Article copyright: © Copyright 1978 American Mathematical Society