Quotient Criterion

Related lectures (32)

Page 3 of 4

Introduces the regular representation, a key tool for studying group actions on varieties.

Explores the concept of diagonalizable groups and their properties in linear algebraic groups.

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.

Explores the relationships between tangent spaces, dimensions, and sub-varieties in algebraic geometry.

Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Explores constructing quotients of linear algebraic groups by linearly reductive sub-groups.

Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.

Covers the properties of commutative linear algebraic groups and their elements.

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.