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Group commutator aba 1 - PowerPoint PPT Presentation

Lie Algebra

Lie Algebra. Lie Algebra. The set of all infinitessimal generators is the Lie algebra of the group G. Linear transformation: Let A be a matrix G = { a ; a ? I + e A ; e << 1} Product maps to a sum. S 1. a ? A b ? B. ( I + e A )( I + e B ) = I + e ( A + B ) + e 2 AB.

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Group commutator aba 1 - PowerPoint PPT Presentation

Lie Algebra