1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2012★ 1 cited
Local Selectivity of Orders in Central Simple Algebras
Benjamin Linowitz, Thomas R. Shemanske
Let be a central simple algebra of degree over a number field , and a strictly maximal subfield. We say that the ring of integers is "selecti…
math.NT2010
Embedding Orders Into Central Simple Algebras
Benjamin Linowitz, Thomas R. Shemanske
The question of embedding fields into central simple algebras over a number field was the realm of class field theory. The subject of embedding orders contained in the ring…
math.NT2008
Split Orders and Convex Polytopes in Buildings
Thomas R. Shemanske
As part of his work to develop an explicit trace formula for Hecke operators on congruence subgroups of , Hijikata defines and characterizes the notion of a split order i…