On root subsystems and involutions in S_n

D. Deriziotis; C. A. Pallikaros; Thomas McDonough

doi:10.1017/S0017089510000054

On root subsystems and involutions in S_n

D. Deriziotis, C. A. Pallikaros, Thomas McDonough

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	357-369
Number of pages	13
Journal	Glasgow Mathematical Journal
Volume	52
Issue number	2
DOIs	https://doi.org/10.1017/S0017089510000054
Publication status	Published - 2010

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http://hdl.handle.net/2160/5983

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title = "On root subsystems and involutions in S_n",

abstract = "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.",

author = "D. Deriziotis and Pallikaros, {C. A.} and Thomas McDonough",

note = "D.Deriziotis, T.P. McDonough and C.A. Pallikaros, On root subsystems and involutions in S_n, Glasgow Mathematical Journal (2010), Volume 52, issue 2, pages 357-369.",

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AU - Deriziotis, D.

AU - Pallikaros, C. A.

AU - McDonough, Thomas

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AB - 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.

U2 - 10.1017/S0017089510000054

DO - 10.1017/S0017089510000054

M3 - Article

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VL - 52

SP - 357

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JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 2

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On root subsystems and involutions in S_n

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