Rational conjugacy and relative root systems

2015 ◽  
pp. 581-655
Author(s):  
Brian Conrad ◽  
Ofer Gabber ◽  
Gopal Prasad
Keyword(s):  
Root Systems ◽  
Relative Root

Strongly concave functions on root systems

2011 ◽  
Vol 61 (4) ◽  
Author(s):  
François Courtès
Keyword(s):  
Root System ◽  
Special Kind ◽  
Root Systems ◽  
Concave Functions ◽  
Complete Field ◽  
Tits Building ◽  
Relative Root

AbstractLet 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 ℬ be the Bruhat-Tits building of G and let A be an apartment of ℬ; we establish a link between bounded closed subsets of 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.

A Technique for the Periodic Observation of Root Systems in Situ 1

1962 ◽  
Vol 54 (1) ◽  
pp. 56-56 ◽  
Author(s):  
T. J. Muzik ◽  
J. W. Whitworth
Keyword(s):  
Root Systems

Asian tongue root systems

2018 ◽  
Author(s):  
Harry van der Hulst
Keyword(s):  
Root Systems ◽  
Language Group ◽  
High Vowels

This chapter is devoted to tongue root (ATR or RTR) harmony in Tungusic languages (a.o. Classical Manchu) and Mongolian languages (Khalka and Buriat), which all belong the Altaic language group. In addition to TR-harmony, most Tungusic and Mongolian languages also have a limited form of labial harmony, especially among low vowels. After discussing the Tungusic and Mongolian systems the chapter will focus on the behavior of high vowels, which do not participate in labial harmony, and are either transparent or opaque. A notable difference between Tungusic and Mongolic regards the fact that whereas [i] is transparent to labial harmony in Mongolic, it is opaque in Tungusic. High round vowels are opaque in both groups.

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