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MATH-M 508: INTRODUCTION TO LIE ALGEBRAS AND LIE GROUPS (3 credits)
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MATH-M 508: INTRODUCTION TO LIE ALGEBRAS AND LIE GROUPS
Offered at
IU Bloomington
by
College of Arts and Sciences
.
About
Nilpotent, solvable, and semisimple Lie algebras, exponential map, PBW theorem, Killing form, Cartan subalgebras, root systems, Weyl group, classification and representations of complex semisimple Lie algebras, Schur's lemma, maximal weight modules; correspondence between real Lie algebras and Lie groups, compact Lie groups, complex and real semisimple Lie groups, symmetric spaces.
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