000 01761n a2200277#a 4500
001 33641
003 P5A
005 20221213140453.0
007 cr cuuuuuauuuu
008 110131s2011 bl por d
035 _aocm51338542
040 _aP5A
_cP5A
090 _acs
100 1 _aHeluani, Reimundo.
_u(IMPA, Brazil)
_94335
245 1 0 _aIntroduction to Lie Algebras/
_cReimundo Heluani.
246 1 _aPrograma de Doutorado: Introduction to Lie algebras
260 _aRio de Janeiro:
_bIMPA,
_c2011.
300 _avideo online
500 _aCurso - 10 aulas.
505 2 _aWe will go over the basics of structure and representation theory of finite dimensional complex Lie algebras. We will define basic concepts as ideals, homomorphisms, representations, etc. Then we will move to structure theory of semisimple Lie algebras: Killing form, Casimir elements, root systems, classification of simple algebras. And finally we will go to the basics of representation theory: characters, Weyl formulas, etc. Even though we will try to keep it purely algebraic and we may mention some connections to Lie Group theory and geometry. The only previous knowledge that this class will assume is some familiarity with basic algebraic objects like rings and fields. Understanding the notion of manifold would be useful when making connections to Lie Group theory.
650 0 4 _aMatematica.
_2larpcal
_919899
697 _aCongressos e Seminários.
_923755
711 2 _aPrograma de Doutorado(
_d2011:
_cIMPA, Rio de Janeiro, Brazil)
856 4 _zVIDEOS
_uhttps://goo.gl/a8pWCH
942 _2ddc
_cBK
999 _aINTRODUCTION to Lie Algebras. Reimundo Heluani. Rio de Janeiro: IMPA, 2011. video online. Disponível em: <https://goo.gl/a8pWCH>. Acesso em: 27 nov. 2014.
_c32584
_d32584