An Introduction to Lie Groups and Lie Algebras

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On the notion(s) of duality for Markov processes (2012, background): “onsidered above are connected to the Lie groups of Lie algebras, and choices of alternative representations of the Hamiltonian are closely related to alternative representations of the Lie group; see [Kir08] for relevant background on Lie groups. In quantum mechanists, one is especially interested i”
Differential Geometry and Lie Groups (2020, background): “Besides classic references on Lie groups and Lie algebras, such as Chevalley [31], Knapp [68], Warner [114], Duistermaat and Kolk [43], Bröcker and tom Dieck [24], Sagle and Walde [99], Helgason [58], Serre [106, 105], Kirillov [66], Fulton and Harris [46], and Bourbaki [19], one should be aware of ”
Lie groups, Lie algebras, and their representations (2015, background): “Other sources that treat the material in these notes are [1], [2], [4], [9] and [7].”
The Cellular Automaton Interpretation of Quantum Mechanics (2014, methodology): “To compute the hamiltonian H , we may consider using the Baker Campbell Hausdorff expansion[24]:”