Fully commutative elements of the complex reflection groups
- 주제(키워드) Catalan numbers , Catalan Triangle , Complex reflection groups , Fully commutative elements
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted, Bronze
- 발행기관 Academic Press Inc.
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168819
- 본문언어 영어
- Published As https://dx.doi.org/10.1016/j.jalgebra.2019.04.026
초록/요약
We extend the usual notion of fully commutative elements from the finite Coxeter groups to the complex reflection groups. We decompose the sets of fully commutative elements into natural subsets according to their combinatorial properties, and investigate the structure of these decompositions. As a consequence, we enumerate and describe the form of these elements for the complex reflection groups. © 2019 Elsevier Inc.
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