Rudiments of Lie Groups. Lie algebra of a lie group, exponential mapping and adjoint representation. Discussion of su(2) and sl(2).
References: You can find notes here.
Oct. 18, 2019. 19:30
Representations and Irreducibility. Representations of lie groups and algebras, sub-representations, irreducible representations, common operations (direct sum, tensor product, etc), intertwining operators, and proof of Schur's lemma.
References: See Sections 4.1 to 4.4 in Alexander Kirillov's notes. For a review of common linear-algebraic constructions refer to Appendix B in Fulton and Harris' "Representation Theory: A First Course"
Irungu, Martin Waiharo
First look at the classification of connected abelian Lie groups and connected complex abelian Lie groups. The notes can be found here.
Friday, 19:30. Room 120 (Seminar Room), Research 1
Pal, AbhikAryal, Deepak Irungu, Martin Waiharo Falkenburg, Pia Cosma Devkota, Prabhat Blloshmi, Denida Mele, Crystal Oprea, Maria Antonia