2 papers
math.AT2024
Cellular homology of compact groups: Split real forms
Mauro Patrão, Ricardo Sandoval
In this article, we use the Bruhat and Schubert cells to calculate the cellular homology of the maximal compact subgroup of a connected semisimple Lie group whose Lie algeb…
math.DS2024
Dynamics of translations on maximal compact subgroups
Mauro Patrão, Ricardo Sandoval
In this article, we study the dynamics of translations of an element of a semisimple Lie group acting on its maximal compact subgroup . First, we extend to our context some…