Groups and ProductsCovers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.
Group Theory BasicsIntroduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
Remarks about the QuotientExplores the concept of the quotient in linearly reductive groups and varieties, discussing irreducibility, normality, and integral properties.
Quotient CriterionExplores a criterion for computing quotients in algebraic geometry, emphasizing the importance of normality and g-invariant morphisms.