Lie groups and Lie algebras

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Pavel Etingof This is my paper · ORCID

classification math.RThep-thmath.QAmath.RA

keywords algebrasgroupsauthorcourseexpandedgivennotestwo-semester

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These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Type $B$ Webs
math.RT 2026-07 conditional novelty 7.0 of 10

Type B webs give a complete diagrammatic presentation of the subcategory of U_q(so_{2n+1})-representations generated by the fundamental representations.
Rank-one geometry and mixed complexes in representations of Cartan type Lie algebras on a torus
math.RT 2025-04 reject novelty 6.0 of 10

The paper claims a complete classification of submodules and Jordan-Holder series for Shen-Larsson modules over Hamiltonian vector fields on a torus, but the central rank-one lemma fails for N=2.