Simple-root bases for Shi arrangements

Takuro Abe, Hiroaki Terao

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)89-104
ページ数16
ジャーナルJournal of Algebra
422
DOI
出版ステータス出版済み - 1 5 2015
外部発表はい

All Science Journal Classification (ASJC) codes

  • 代数と数論

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