Spin norm, pencils, and the u-small convex hull
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Abstract:
Let $\mathfrak {g}$ be any finite-dimensional complex simple Lie algebra. In this paper, we show that the spin norm increases strictly along any pencil once it goes beyond the u-small convex hull of $\mathfrak {g}$.References
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Additional Information
- Chao-Ping Dong
- Affiliation: Institute of Mathematics, Hunan University, Changsha 410082, People’s Republic of China
- MR Author ID: 850664
- Email: chaoping@hnu.edu.cn
- Received by editor(s): February 10, 2015
- Received by editor(s) in revised form: March 17, 2015
- Published electronically: August 5, 2015
- Communicated by: Kailash C. Misra
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 999-1013
- MSC (2010): Primary 17B20, 05E18
- DOI: https://doi.org/10.1090/proc/12798
- MathSciNet review: 3447654