4 citations · 5 across the 2 of their papers we have counts for
5 papers
Galois groups over rational function fields over skew fields
Gil Alon, François Legrand, Elad Paran
Let be a skew field of finite dimension over its center . We solve the Inverse Galois Problem over the field of fractions of the ring of polynomial functions over …
A Quaternionic Nullstellensatz
Gil Alon, Elad Paran
We prove a Nullstellensatz for the ring of polynomial functions in n non-commuting variables over Hamilton's ring of real quaternions. We also characterize the generalized polynomi…
Comparing with octopi
Gil Alon, Gady Kozma
Operator inequalities with a geometric flavour have been successful in studying mixing of random walks and quantum mechanics. We suggest a new way to extract such inequalities usin…
The mean-field quantum Heisenberg ferromagnet via representation theory
Gil Alon, Gady Kozma
We use representation theory to write a formula for the magnetisation of the quantum Heisenberg ferromagnet. The core new result is a spectral decomposition of the function $α_k 2^…
Automorphisms of Products of Drinfeld Half Planes
Gil Alon
The Drinfeld upper half-planes play the role of symmetric spaces in the -adic analytic world. We find the automorphism group of a product of such spaces, where each may be defin…