Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The noncommutativity of Hecke algebras associated to Weyl groups
HTML articles powered by AMS MathViewer

by Michael R. Anderson PDF
Proc. Amer. Math. Soc. 123 (1995), 2363-2368 Request permission

Abstract:

We prove that the Hecke algebra $\mathcal {H}(W,{W_J})$, where W is a Weyl group of spherical type and ${W_J}$ is a standard parabolic subgroup of W of corank $\geq 2$, is noncommutative.
References
    M. R. Anderson, Hecke algebras associated to Weyl groups, Ph.D. thesis, Ohio State University, 1993. W. Bosma and J. Cannon, Handbook of Cayley functions, Sydney, 1992.
  • A. E. Brouwer, A. M. Cohen, and A. Neumaier, Distance-regular graphs, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 18, Springer-Verlag, Berlin, 1989. MR 1002568, DOI 10.1007/978-3-642-74341-2
  • 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 347996, DOI 10.1007/BF02684695
  • James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Berlin, 1972. MR 0323842, DOI 10.1007/978-1-4612-6398-2
  • N. Iwahori, On some properties of groups with BN-pairs, Theory of Finite Groups (Brauer and Sah, eds.), Benjamin, New York, 1969.
  • Aloys Krieg, Hecke algebras, Mem. Amer. Math. Soc. 87 (1990), no. 435, x+158. MR 1027069, DOI 10.1090/memo/0435
  • Michio Suzuki, Gun ron. Vol. 1, Gendai Sūgaku [Modern Mathematics], vol. 18, Iwanami Shoten, Tokyo, 1977 (Japanese). MR 514842
  • Jacques Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, Vol. 386, Springer-Verlag, Berlin-New York, 1974. MR 0470099
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20F55, 16S99, 20C33
  • Retrieve articles in all journals with MSC: 20F55, 16S99, 20C33
Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2363-2368
  • MSC: Primary 20F55; Secondary 16S99, 20C33
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1254829-9
  • MathSciNet review: 1254829