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Related lectures (12)

Group Actions: G-equivariant Morphisms

Covers G-equivariant morphisms in group actions, emphasizing natural transformations and conditions for morphisms.

Quotient Criterion

Explores a criterion for computing quotients in algebraic geometry, emphasizing the importance of normality and g-invariant morphisms.

Construction of Free Action Functor

Explores the construction of the free action functor and its equivariance.

Free Actions, Ch III: Group Actions

Explains the concept of free actions and their preservation properties in group theory.

Group Actions on Varieties

Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.

Unitary Representations: Schur's Lemma

Explains Schur's Lemma on unitary representations and their irreducibility and invariance properties.

Active Learning Session

Explores group actions and equivariant morphisms in group theory.

Group Actions: Equivariance and Functors

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

G-modules and G-varieties

Explores the embedding of chi-varieties into vector spaces with linear actions.

Isomorphism in Aut(p)

Explores isomorphism between Aut(p) and a Galois covering through topology course notes.

Equivariant Structural Representations

Explores equivariant structural representations in atomistic machine learning, emphasizing the importance of representing target properties in the spherical basis.

Group Theory: Adjoint Functors and G-sets

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

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