Pavel Etingof 2026-11-05
His Lie Groups and Lie Algebras by Pavel Etingof (2024) develops the bridge from continuous groups to their infinitesimal algebraic structures. A Lie algebra representation replaces a nonlinear group action with linear operators satisfying bracket identities; the theory then recovers structural information about Lie groups. His work on tensor categories broadens the study of representations by treating their tensor products and compatibility maps as part of the mathematical object.[ref][ref]
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