Flat connected finite quandles
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- by Yoshitaka Ishihara and Hiroshi Tamaru PDF
- Proc. Amer. Math. Soc. 144 (2016), 4959-4971 Request permission
Abstract:
Quandles can be regarded as generalizations of symmetric spaces. In the study of symmetric spaces, the notion of flatness plays an important role. In this paper, we define the notion of flat quandles, by referring to the theory of Riemannian symmetric spaces, and classify flat connected finite quandles.References
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Additional Information
- Yoshitaka Ishihara
- Affiliation: Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
- Hiroshi Tamaru
- Affiliation: Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
- MR Author ID: 645435
- Email: tamaru@math.sci.hiroshima-u.ac.jp
- Received by editor(s): October 5, 2015
- Received by editor(s) in revised form: January 10, 2016
- Published electronically: April 25, 2016
- Additional Notes: The second author was supported in part by KAKENHI (24654012, 26287012).
- Communicated by: Ken Ono
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4959-4971
- MSC (2010): Primary 53C35, 57M25
- DOI: https://doi.org/10.1090/proc/13095
- MathSciNet review: 3544543