Lie algebra cohomology

Related lectures (29)

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Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Covers the BRST symmetry in Quantum Field Theory, focusing on physical states and norm preservation.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.

Explores the cross product in cohomology, covering its properties and applications in homotopy.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Covers the concept of curl in vector calculus and De Rham cohomology.

Introduces cohomology, focusing on abelian cochains and their correspondence with singular cochains.

Covers the homology of projective space, focusing on cohomology and exact sequences.