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Verma module
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Related lectures (8)
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Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Singular Vectors in Liouville CFT: Representation Theory Insights
Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.
Unitary Minimal Models: Representation Theory Insights
Covers the representation theory of unitary minimal models and the Virasoro algebra.
Segal CFT: Hilbert Space Applications
Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.
Group representations constructions
Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
The Fundamental Theorem of Finitely Generated Modules
Covers the fundamental theorem of finitely generated modules over a PID.
Group Cohomology
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Shape of Data: Algebraic Topology and Shape Representation
Covers algebraic topology, Betti numbers, and shape representation methods for efficient data shape measurement and analysis.
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