Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.
Tangent Spaces InsightsExplores the relationships between tangent spaces, dimensions, and sub-varieties in algebraic geometry.
Modules of CovariantsExplores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Algebraic GeometryCovers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.
Subgroups and subalgebrasExplores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.
