Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups
Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups
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 question of whether a given representation is symplectic or orthogonal has been solved over the complex numbers since at least the 1950s. Similar results …