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Poincaré series of subsets of affine Weyl groups
Author(s):
Sankaran
Viswanath
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3735-3740.
MSC (2000):
Primary 05E15
Posted:
June 17, 2008
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Abstract:
In this note, we identify a natural class of subsets of affine Weyl groups whose Poincaré series are rational functions. This class includes the sets of minimal coset representatives of reflection subgroups. As an application, we construct a generalization of the classical length-descent generating function and prove its rationality.
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Additional Information:
Sankaran
Viswanath
Affiliation:
Department of Mathematics, University of California, Davis, California 95616
Address at time of publication:
Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
Email:
svis@math.iisc.ernet.in
DOI:
10.1090/S0002-9939-08-09382-9
PII:
S 0002-9939(08)09382-9
Keywords:
Rational function,
descent,
reflection subgroup
Received by editor(s):
August 1, 2006
Posted:
June 17, 2008
Communicated by:
Jim Haglund
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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