Mathematical Notes

• Algebraic Groups, Grassmannians, and Flag Varieties
• The Alternating Group A_n is simple for n > 4
• Artin's Construction of an Algebraic Closure of a Field
• Automorphisms of S_n and A_n
• Central Simple Algebras
• The Classification of Wallpaper Patterns 
• Computing the Symmetry Groups of the Platonic Solids with the Help of Maple
• Direct Limits
• Division Algebras over Local Fields
• Dualities in Lattice Theory
• Examples of Localization
• Group Actions
• Group Actions, p-Groups, and the Sylow Theorems
• Group Extensions and H³
• Isometries of Rⁿ
• Locally Free Sheaves
• Nonabelian Cohomology
• Normed Vector Spaces and Double Duals
• A Note About Profinite Groups
• Projective Modules and the Sphere S²
• Rings with no Maximal Ideals
• Root Space Decomposition of the Classical Lie Algebras
• Semidirect Products
• On Severi-Brauer Varieties
• Sheaf Cohomology
• The Smith Normal Form of a Matrix
• Transitive Subgroups of S₅

Last updated: 05/06/2005