41 citations · 453 across the 49 of their papers we have counts for
14 papers · 1 filter
Invariant derivations and trace bounds
Skip Garibaldi, Robert M. Guralnick, Eric M. Rains
About 20 years ago, J-P.~Serre announced a bound on the trace of elements of compact Lie groups under the adjoint representation together with related results, provided indications…
Generic stabilizers for simple algebraic groups
Skip Garibaldi, Robert M. Guralnick
We prove a myriad of results related to the stabilizer in an algebraic group of a generic vector in a representation of over an algebraically closed field . Our resu…
Minuscule embeddings
Benedict Gross, Skip Garibaldi
We study embeddings of simple linear algebraic groups with the following property: the simple components of the module Lie()/Lie() are all minuscule rep…
Generically free representations III: extremely bad characteristic
Skip Garibaldi, Robert M. Guralnick
In parts I and II, we determined which faithful irreducible representations of a simple linear algebraic group are generically free for Lie(), i.e., which have an op…
Generically free representations II: irreducible representations
Skip Garibaldi, Robert M. Guralnick
We determine which faithful irreducible representations of a simple linear algebraic group are generically free for Lie(), i.e., which have an open subset consisting…
Generically free representations I: large representations
Skip Garibaldi, Robert M. Guralnick
For a simple linear algebraic group acting faithfully on a vector space and under mild assumptions, we show: if is large enough, then the Lie algebra of acts generi…