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261A Lie Groups - University of California, Berkeley

261A Lie Groups - University of California, Berkeley

math.berkeley.edu

Example The torus T2 ˘=S1 S1 is a Lie group. We can also think of T2 as a smooth projective algebraic curve over Cof genus 1 (an elliptic curve), in which case there are many ... ber of any point is homeomorphic to the stabilizer subgroup above, and in fact is a ber bundle. Proposition 2.1. SL n(R) is connected.

  Group, A261, 261a lie groups

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