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Sep. 29, 2019. 19:15
Preliminary meeting. Selection of a seminar topic, administrative details, etc.
Oct. 10, 2019. 20:30Devkota, Prabhat

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"

Oct. 25, 2019.
No meeting.
Nov. 1, 2019.Young diagrams. Young diagrams and their connections with the representation theory of the symmetric groups and the simpler Lie algebras.
Nov. 8, 2019

First look at the classification of connected abelian Lie groups and connected complex abelian Lie groups. The notes can be found here.

Nov 15, 2019Aryal, Deepak
Nov 22, 2019
Nov 29, 2019Oprea, Maria Antonia

General Information

Meeting time, location

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

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