Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.
Subgroups and subalgebrasExplores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.
Connected ComponentsCovers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Modules of CovariantsExplores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Diffie-Hellman Key ExchangeExplores the Diffie-Hellman key exchange protocol, covering computational challenges, subgroup issues, and key wrapping in RFC 2631.
