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ON ROOT SUBSYSTEMS AND INVOLUTIONS IN Sn

Published online by Cambridge University Press:  29 March 2010

D. DERIZIOTIS ,
T. P. MCDONOUGH  and
C. A. PALLIKAROS
D. DERIZIOTIS
Affiliation:
Department of Mathematics, University of Athens, Panepistimioupolis, GR-15784, Athens, Greece e-mail: dderiz@math.uoa.gr
T. P. MCDONOUGH
Affiliation:
Institute of Mathematics and Physics, University of Aberystwyth, Aberystwyth SY23 3BZ, United Kingdom e-mail: tpd@aber.ac.uk
C. A. PALLIKAROS
Affiliation:
Department of Mathematics and Statistics, University of Cyprus, PO Box 20537, 1678 Nicosia, Cyprus e-mail: pallikar@ucy.ac.cy
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Abstract

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Given an involution z in W, where W is the symmetric group of degree n, we study the relation between the subsystems of a root system for W corresponding to certain decreasing subsequences of z and the two-sided Kazhdan–Lusztig cell of W containing z.

Keywords

Primary: 20F55Secondary: 20B3020C3020C3005E10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 2 , May 2010 , pp. 357 - 369
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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