Effective multiple mixing in Weyl chamber actions

semisimple groups;semidirect products;effective multiple mixing;Weyl chamber actions

Konstantoulas, Ioannis

关键词: semisimple groups;    semidirect products;    effective multiple mixing;    Weyl chamber actions;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/49459/Ioannis_Konstantoulas.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

In this work, we prove effective decay of certain multiple correlation coefficients for Weyl chamber actions of semidirect products of semisimple groups with $G$-vector spaces.Using these estimates we get decay for corresponding actions in some semisimple groups of higher rank and homogeneous spaces of semidirect products of real algebraic groups.