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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
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- Lie Algebras, Algebraic Groups, and Lie Groups J.S. Milne Version 1.00 March 11, 2012
- LIE ALGEBRAS Part 1 Lectured by Professor Roger Carter Typed by Tim Sullivan Autumn Term 2002 University of Warwick
- LIE ALGEBRAS Part 2 Lectured by Professor Roger Carter Typed by Tim Sullivan Spring Term 2003 University of Warwick
- Lie Groups and Representations Peter Woit Columbia University spring 2012 Course Materials
- NONCOMMUTATIVE ALGEBRA PETE L. CLARK University of Georgia 2010
- QUADRATIC FORMS CHAPTER I: WITT'S THEORY Pete Clark University of Georgia
- Quadratic Forms Christopher Cooper McQuarrie University
- Lie Groups and Representations of Locally Compact Groups By F. Bruhat Tata Institute of Fundamental Research, Bombay 1958 (Reissued 1968)
- Linear algebraic groups III Brian Conrad Stanford University
- LIE ALGEBRAS Kiyoshi Igusa Brandies University 2011
- The Octonions John C. Baez University of California Riverside
- Lie Algebras |Kevin McGirty Mathematical Institute University of Oxford
- Vertex Algebras Christophe NOZARADAN Universit ?e Catholique de Louvain
- The arithmetic of quaternion algebras John Voight University of Vermont
- Hopf Algebras Lecture Notes Spencer Bloch University of Chicago 2007
- Non-Commutative Rings by Frank W. Anderson University of Oregon Fall, 2002
- A primer of Hopf algebras Pierre CARTIER Institut des Hautes Etudes Scientifiques Septembre 2006
- Lie Groups and Representations Timothy Murphy Trinity College Dublin
- Arithmetic Groups Dave Witte Morris University of Lethbridge (Alberta)