Weyl character formulaExplores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Symmetry and Group TheoryCovers molecular orbitals, symmetry species, IR and Raman modes, isomer spectroscopy, and character tables.
Symmetry and Group TheoryExplores symmetry and group theory applications in chemistry, covering matrix representations, normal modes, and harmonic oscillators.
Tensor Product of RepresentationsExplores the construction of matrices representing group representations and the importance of symmetry in characterizing physical phenomena.
Analyzing Character Lifts in CpCovers constructing characters and lifting them to analytic functions on Cp, emphasizing the importance of correction terms for convergence.