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Strongly concave functions on root systems

In: Mathematica Slovaca, vol. 61, no. 4
François Courtès

Details:

Year, pages: 2011, 539 - 560
Keywords:
root systems, algebraic groups over local fields, Bruhat-Tits building
About article:
Let $F$ be a local complete field with discrete valuation, and let $G$ be the group of $F$-points of a quasisplit group over $F$. Let $\mathcal{B}$ be the Bruhat-Tits building of $G$ and let $\mathcal{A}$ be an apartment of $\mathcal{B}$; we establish a link between bounded closed subsets of $\mathcal{A}$ and a special kind of functions on the relative root system $Φ$ of $G$, which will be called strongly concave functions. This paper is devoted to the study of such functions.
How to cite:
ISO 690:
Courtès, F. 2011. Strongly concave functions on root systems. In Mathematica Slovaca, vol. 61, no.4, pp. 539-560. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0027-0

APA:
Courtès, F. (2011). Strongly concave functions on root systems. Mathematica Slovaca, 61(4), 539-560. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0027-0
About edition: