UPDATED MARCH 18, 2017
Independent Studies-Mathematics 199B-WINTER 2017
NONASSOCIATIVE ALGEBRA
Fridays 2-2:50 RH 440R
(syllabus-Revised January 15)
Resources for Term Projects (updated February 10)
(here)
(corrected March 16, 2017) "FINAL EXAM" PROBLEMS (From 199A)-Part 1 #1-10, Part 2 #11-20, Part 3 #21-23.
(click here)
SOLUTIONS TO "FINAL EXAM" PROBLEMS (From 199A) #1-6.
(click here)
FORUM---Email questions from students and answers (updated March 16)
(click here)
Lectures on Algebras and Triple Systems-Kurt Meyberg, University of Virginia, 1972 (237pp)
(click here)
First and second meetings, January 13 and 20, 2017.
Meyberg Chapter 7 (pp.66-70), Exercises 1-2
(click here)
First and second meetings, January 13 and 20, 2017.
Identities for Jordan algebras(informal notes: Meyberg pages 66-68)(click here)
Second and Third meetings, January 20 and 27, 2017.
Meyberg Chapter 7 (pp.66-70), Exercises 1-5 (Exercises 3-5 have been added)
(click here)
Second and Third meetings, January 20 and 27, 2017.
Identities for Jordan algebras(informal notes: Meyberg pages 69-70)(click here)
Fourth meeting, February 3, 2017.
Meyberg Chapter 8 (pp.71-73), Exercises 1-2
(click here)
Fourth meeting, February 3, 2017.
Simple Jordan algebras (informal notes: Meyberg pages 71-73)(click here)
Fifth meeting, February 10, 2017.
Meyberg Chapter 8 (pp.74-77
(click here)
Fifth meeting, February 10, 2017.
Simple Jordan algebras (informal notes: Meyberg pages 73-74, Exercise 3 added)(click here)
SOLUTIONS TO "FINAL EXAM" PROBLEMS (From 199A) #7-8.
(posted February 17)(click here)
Sixth meeting, February 17, 2017. Cancelled due to the weather.
Seventh meeting, February 24, 2017.
199A exercises related to Lie Triple Systems
(click here)
Seventh meeting, February 24, 2017.
Meyberg Chapter 5 (pp.40-42) Exercises 1,2
(click here)
Seventh and Eighth meetings, February 24 and March 3, 2017.
Meyberg Chapter 6 (pp.43-46) Exercises 1,2,3
(click here)
Seventh and Eighth meetings, February 24 and March 3, 2017.
Lie algebras and Lie Triple Systems-part 1 (informal notes: Meyberg pages 40-46 (here)
Eighth meeting, March 3, 2017.
Meyberg Chapter 6 (pp.47-48) Exercises 4,5
(click here)
Eighth meeting, March 3, 2017.Ideals in the standard embedding (informal notes: Meyberg pages 47-48 (click here)
Eighth meeting, March 3, 2017. Notes on Exercise 3 of chapter 6 (click here)
SOLUTIONS TO EXERCISES 1-5 OF CHAPTER 7 (click here)
Ninth meeting, March 10, 2017. Derivations on finite dimensional semisimple Lie Triple Systems are Inner (Theorem 10, page 57, informal notes and review of radicals (Exercise 6 added)(click here)
(posted March 18, 2017) "FINAL EXAM" PROBLEMS (199B)
This is a list of the statements of the problems assigned from chapters 5,6,7, and 8 (I have not included a "discussion" on any of the problems at this time)
(click here)