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Book Review
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Book Information
Author(s):
Anders Björner and Francesco Brenti
Title:
Combinatorics of Coxeter groups
Additional book information:
Graduate Texts in Math., vol. 231,
Springer, New York,
2005,
xiii + 363,
US$74.95,
ISBN 3-540-44238-3
References:
-
- 1.
- A. Björner and F. Brenti, Combinatorics of Coxeter Groups, Graduate Texts in Math. 231, Springer, New York, 2005. MR 2133266 (2006d:05001)
- 2.
- N. Bourbaki, Lie Groups and Lie Algebras, Chapters 4-6, Springer, New York, 2002. MR 1890629 (2003a:17001)
- 3.
- K.S. Brown, Buildings, Springer, New York, 1989. MR 969123 (90e:20001)
- 4.
- H.S.M. Coxeter, Discrete groups generated by reflections, Ann. of Math. 35 (1934), 588-621. MR 1503182
- 5.
- M.W. Davis, The Geometry and Topology of Coxeter Groups, London Math. Soc. Monographs Series, vol. 32, Princeton University Press, 2008.
- 6.
- J.E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge University Press, Cambridge, 1990. MR 1066460 (92h:20002)
- 7.
- D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 560412 (81j:20066)
- 8.
- E.B. Vinberg, Hyperbolic reflection groups, Russian Math. Surveys 40 (1985), 31-75. MR 783604 (86m:53059)
Additional Information:
Reviewer(s):
Michael
W.
Davis
Affiliation:
The Ohio State University
Email:
mdavis@math.ohio-state.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
45
(2008),
445-449.
MSC
(2000):
Primary 20B30, 20F55, 05C25, 05E15.
DOI:
10.1090/S0273-0979-08-01170-1
PII:
S 0273-0979(08)01170-1
Posted:
January 7, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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