5 papers
Hasse Invariant for the Tame Brauer Group of a Higher Local Field
Eric Brussel
We generalize the Hasse invariant of local class field theory to the tame Brauer group of a higher dimensional local field, and use it to study the arithmetic of central simple alg…
Open Problems on Central Simple Algebras
Asher Auel, Eric Brussel, Skip Garibaldi +1
We provide a survey of past research and a list of open problems regarding central simple algebras and the Brauer group over a field, intended both for experts and for beginners.
Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves
Eric Brussel, Kelly McKinnie, Eduardo Tengan
We construct indecomposable and noncrossed product division algebras over function fields of smooth curves X over Z_p. This is done by defining an index preserving morphism s:Br(\h…
Fixed Points of the q-Bracket on the p-Adic Unit Disk
Eric Brussel
We study the fixed points of the q-bracket on the complex unit disk, and prove the following. The set of (nontrivial) pairs (x,q) such that [x]_q=x form a manifold whose standard p…
A family of p-adic isometries, fixed points, and the number three
Eric S. Brussel
We study a continuous family of norm-preserving isometries of the p-adic unit disk, given as interpolations of a common arithmetic function, the q-analog of the identity, for princ…