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The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.
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Attribution: The Open Education Consortium
http://www.ocwconsortium.org/courses/view/0ee4b2f665e6d3217891a3a71244e2ff/
Course Home http://ocw.mit.edu/courses/mathematics/18-712-introduction-to-representation-theory-fall-2010