Simple-root bases for Shi arrangements


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

JoA_422_89-.pdf

123.23 kB

PDF

Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/57764

Title:	Simple-root bases for Shi arrangements
Authors:	Abe, Takuro Browse this author
Authors:	Terao, Hiroaki Browse this author →KAKEN DB
Keywords:	Arrangements of hyperplanes
	Weyl arrangements
	Free arrangements
	Shi arrangements
	Root systems
Issue Date:	15-Jan-2015
Publisher:	Elsevier
Journal Title:	Journal of algebra
Volume:	422
Start Page:	89
End Page:	104
Publisher DOI:	10.1016/j.jalgebra.2014.09.011
Abstract:	In his affirmative answer to the Edelman-Reiner conjecture, Yoshinaga proved that the logarithmic derivation modules of the cones of the extended Shi arrangements are free modules. However, we know very little about the bases themselves except their existence. In this article, we prove the unique existence of two distinguished bases which we call the simple-root basis plus (SRB+) and the simple-root basis minus (SRB-). They are characterized by nice divisibility properties relative to the simple roots.
Rights:	(C) 2014 Elsevier Inc. All rights reserved.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/57764
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 寺尾宏明

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University