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Lie algebra cohomology
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Topology Seminar: Tower Sequences and Homomorphisms
Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.
Cohomology of C2: Cup Product
Covers the cup product in the cohomology of C2, showing how non-trivial elements are represented by cocycles.
Acyclic Models: Cup Product and Cohomology
Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.
Algebraic Kunneth Theorem
Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.
Cohomology: Cup Product
Covers the cup product in cohomology, focusing on examples and computations.
Quantum Field Theory: Poincaré Group
Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.
Graded Ring Structure on Cohomology
Explores the associative and commutative properties of the cup product in cohomology, with a focus on graded structures.
Homological Algebra: Basics and Applications
Covers the basics of Homological algebra, focusing on Ext modules and their significance in modern mathematics.
Cohomology: Recollection and Foliations
Covers cohomology, injective resolutions, and acyclic objects in an abelian category.
Vector Fields
Explains vector fields as derivations and their algebraic structure in Lie algebra.