41 citations · 453 across the 49 of their papers we have counts for
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Pictures of compact Lie groups (after Serre)
Skip Garibaldi
We fill in the details in a procedure outlined by Serre for drawing pictures of compact real Lie groups. In the case of Sp(), the picture generated by the method is connected w…
Spinors and essential dimension
Skip Garibaldi, Robert M. Guralnick
We prove that spin groups act generically freely on various spinor modules, in the sense of group schemes and in a way that does not depend on the characteristic of the base field.…
Essential dimension of algebraic groups, including bad characteristic
Skip Garibaldi, Robert M. Guralnick
We give upper bounds on the essential dimension of (quasi-)simple algebraic groups over an algebraically closed field that hold in all characteristics. The results depend on showin…
Outer automorphisms of algebraic groups and a Skolem-Noether theorem for Albert algebras
Skip Garibaldi, Holger P. Petersson
The question of existence of outer automorphisms of a simple algebraic group arises naturally both when working with the Galois cohomology of and as an example of the algeb…
Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups
Skip Garibaldi, Daniel K. Nakano
The representation theory of semisimple algebraic groups over the complex numbers (equivalently, semisimple complex Lie algebras or Lie groups, or real compact Lie groups) and the…
Simple groups stabilizing polynomials
Skip Garibaldi, Robert Guralnick
We study the problem of determining, for a polynomial function on a vector space , the linear transformations of such that . In case is invariant under…