Classification of Semisimple Lie Algebras

A reading seminar devoted to learn about the classification of semisimple Lie algebras from Humphreys' book "Introduction to Lie Algebras and Representation Theory". The meetings are on Wednesdays (February 4 - May 13). Time: 16:00-17:30.

2015


#1: February 4
Reference: [1] Sec. 1 & 2
Contents

#2: February 11
Reference: [1] Sec. 3
Contents

#3: February 18
Reference: [1] Sec. 4
Contents

#4: February 25
Reference: [1] Sec. 4 & 5
Contents

#5: March 4
Reference: [1] Sec. 6
Contents

#6: March 11
Reference: [1] Sec. 7 & 8
Contents

#7: March 18
Reference: [1] Sec. 8
Contents

#8: March 25
Reference: [1] Sec. 9
Contents

#9: April 1
Reference: [1] Sec. 10
Contents

#10: April 22
Reference: [1] Sec. 10
Contents

#11: April 29
Reference: [1] Sec. 11-12
Contents

#12: May 6
Reference: [1] Sec. 14
Contents


References

  1. J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Mathematics 9, Springer, 1972.
  2. Zh. Chang, Solutions to some exercises in Humphreys' book "GTM9", July 20, 2013.
  3. H. Samelson, Notes on Lie Algebras, Universitext, Springer, 1990.
  4. T. Tao, Notes on the classification of complex Lie algebras, April 27, 2013.
  5. B. Bajorska, On Jordan-Chevalley Decomposition, Zeszyty Naukowe. Matematyka Stosowana/Politechnika Slaska, 2011.
  6. A.J. Coleman, The greatest mathematical paper of all time, The Mathematical Intelligencer 11(3) 29-38, 1989.
  7. S. Helgason, A centennial: Wilhelm Killing and the exceptional groups, The Mathematical Intelligencer 12(3) 54-57, 1990.
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