Unitary Minimal Models: Representation Theory Insights

Related lectures (31)

Page 3 of 4

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.

Covers the isotopic decomposition of modules into simple components and their properties.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Covers the representation theory of groups, focusing on actions and invariants.

Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

Covers the proof of unitary group uniqueness and spectral types.

Covers the spherical Hecke algebra and finite-dimensional unitary representations.