Independent Studies-Mathematics 199C-SPRING 2018  LEIBNIZ ALGEBRAS AND THEIR "COQUECIGRUES"  

Fridays 3-3:50 Rowland Hall 440R (syllabus)

Global integration of Leibniz algebras.
Bordemann, Martin; Wagemann, Friedrich; J. Lie Theory 27 (2017), no. 2, 555-567. (here)

Informal notes, Bordemann-Wagemann Theorem 2.1 (April 17) (here)

Leibniz algebras, Lie racks, and digroups.
Kinyon, Michael K. J. Lie Theory 17 (2007), no. 1, 99-114. (here)

Informal notes, Kinyon Theorem 3.4 (May 11) (here)

Informal notes, Kinyon Theorem 3.4-continued (May 18) (here)

Informal notes, BordemannWagemann Proposition 2.2 (May 18) (here)

Informal notes, Kinyon Theorem 2.1 (May 25) (here)

Project #1 Digroups Kinyon Theorem 4.8 (May 25) (here)

Project #2 Lie Digroups Kinyon Theorem 5.6 (May 25) (here)

Project #3 Matrix Coquecigrues Ongay Theorem 3.5 (May 25) (here)

Project #4 Different Proof of Kinyon Theorem 4.8 Ongay Section 2.1 (May 25) (here)

Project #5 Derived algebras/a coquecigrue solution Monterde and Ongay Section 4.1 (May 25) (here)

Project #6 Enveloping Lie algebras Kinyon and Weinstein Section 2 (May 25) (here)

Project #7 A construction with Leibniz algebras Kinyon and Weinstein Section 5 (May 25) (here)

Project #8 More on Leibniz algebras (Kinyon Examples 2.2,2.3,2.5) and Lie racks (Kinyon Theorem 3.5 and the discussion after it) (May 25) (here)