280 citations · 1k across the 82 of their papers we have counts for
4 papers · 1 filter
Constructing semisimple p-adic Galois representations with prescribed properties
Chandrashekhar Khare, Michael Larsen, Ravi Ramakrishna
In this paper we show that two dimensional (mod p) Galois representations satisfying mild hypotheses can be lifted to p-adic Galois representations ramified at infinitely many prim…
Determining a semisimple group from its representation degrees
Michael J. Larsen
The Lie algbera of a compact semisimple Lie group G is determined by the degrees of the irreducible representations of G. However, two different groups can have the same representa…
Weak approximation for linear systems of quadrics
Bo-Hae Im, Michael Larsen
We give local conditions at the infinite places of a number field K ensuring that the intersection of n quadrics in projective N-space over K, N >> n, satisfies weak approximation.
Navigating the Cayley graph of SL(2,Z/pZ)
Michael Larsen
This paper describes a non-deterministic polynomial-time algorithm to find a path of length O(log p loglog p) between any two vertices of the Cayley graph of SL(2,Z/pZ).