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Ratios of dual generic degrees of a finite Coxeter group

Author: Dean Alvis
Journal: Proc. Amer. Math. Soc. 91 (1984), 532-536
MSC: Primary 20C15; Secondary 20G05
MathSciNet review: 746083
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Abstract: A formula is obtained for the ratio of dual generic degrees of a finite Coxeter group.

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  • [1] D. Alvis and G. Lusztig, The representations and generic degrees of the Hecke algebra of type $ {H_4}$, J. Reine Angew. Math. 336 (1982), 201-212. MR 671329 (84a:20013)
  • [2] C. T. Benson, The generic degrees of the irreducible characters of $ {E_8}$, Comm. Algebra 7 (1979), 1199-1209. MR 535928 (80f:20043)
  • [3] C. T. Benson and C. W. Curtis, On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc. 165 (1972), 251-273; ibid. 202 (1975), 405-406. MR 0304473 (46:3608)
  • [4] C. W. Curtis, N. Iwahori and R. Kilmoyer, Hecke algebras and characters of parabolic type of finite groups with $ (B,N)$-pairs, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 81-116. MR 0347996 (50:494)
  • [5] C. W. Curtis and I. Reiner, Methods of representation theory, Vol. I, Wiley-Interscience, New York, 1981. MR 632548 (82i:20001)
  • [6] N. Iwahori, On the structure of the Hecke ring of a Chevalley group over a finite field, J. Fac. Sci. Tokyo Univ. (2) 10 (1964), 215-236. MR 0165016 (29:2307)
  • [7] D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 560412 (81j:20066)
  • [8] R. Kilmoyer, Some irreducible complex representations of a finite group with BN pair, Ph.D. Dissertation, M.I.T., 1969.
  • [9] G. Lusztig, Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Invent. Math. 64 (1981), 263-296. MR 629472 (83b:20011)
  • [10] D. B. Surowski, Degrees of irreducible characters of $ (B,N)$-pairs of types $ {E_6}$ and $ {E_7}$, Trans. Amer. Math. Soc. 243 (1978), 235-249. MR 502905 (81g:20019)

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Article copyright: © Copyright 1984 American Mathematical Society

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