Poincaré-Birkhoff-Witt theorems and generalized Casimir invariants for some infinite-dimensional Lie groups: I

DOI10.1088/0305-4470/32/32/310zbMATH Open0939.22010OpenAlexW4244095198WikidataQ115293458 ScholiaQ115293458MaRDI QIDQ4947722

T. Ton-That

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/32/32/310

zbMATH Keywords

differential operatorsinfinite dimensional Lie groupCasimir invariantPoincaré-Birkhoff-Witt theoremBargman-Segal-Fock spaces

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

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