1. Noncommutative Algebra

Non-euclidean geometry and noncommutative algebra, which were at one time
were considered to be purely fictions of the mind and pastimes of logical thinkers, have now been found to be very necessary for the description of general facts of the physical world.-Paul Dirac

1. 
   Berkeley Lectures on Lie Groups and Quantum Groups Richard Borcherds, Mark Haiman, Nicolai
   Reshetikhin, and Vera Serganova edited by Anton Geraschenko and Theo Johnson-Freyd **DRAFT** Last updated September 22, 2011
3. Lie Algebras, Algebraic Groups, and Lie Groups J.S. Milne Version 1.00 March 11, 2012
5. LIE ALGEBRAS Part 1 Lectured by Professor Roger Carter Typed by Tim Sullivan Autumn Term 2002 University of Warwick
7. LIE ALGEBRAS Part 2 Lectured by Professor Roger Carter Typed by Tim Sullivan  Spring Term 2003 University of Warwick
9. Lie Groups and Representations Peter Woit Columbia University spring 2012 Course Materials
11. NONCOMMUTATIVE ALGEBRA PETE L. CLARK University of Georgia 2010
13. QUADRATIC FORMS CHAPTER I: WITT'S THEORY Pete Clark University of Georgia
15. Quadratic Forms Christopher Cooper McQuarrie University
17. Lie Groups and Representations of Locally Compact Groups By F. Bruhat Tata Institute of Fundamental Research, Bombay 1958 (Reissued 1968)
19. Linear algebraic groups III Brian Conrad Stanford University
21. LIE ALGEBRAS Kiyoshi Igusa Brandies University  2011
23. The Octonions John C. Baez  University of California Riverside
25. Lie Algebras |Kevin McGirty Mathematical Institute  University of Oxford
27. Vertex Algebras Christophe NOZARADAN Universit ?e Catholique de Louvain
29. The arithmetic of quaternion algebras John Voight University of Vermont
31. Hopf Algebras Lecture Notes Spencer Bloch University of Chicago 2007
33. Non-Commutative Rings by Frank W. Anderson  University of Oregon Fall, 2002
35. A primer of Hopf algebras Pierre CARTIER Institut des Hautes Etudes Scientifiques  Septembre 2006
37. Lie Groups and Representations Timothy Murphy Trinity College Dublin
39. Arithmetic Groups Dave Witte Morris  University of Lethbridge (Alberta)