Realizations of the four point affine Lie algebra \(\mathfrak{sl}(2, R)\oplus (\Omega_R/dRdR\))

DOI10.2140/pjm.2008.234.261zbMath1151.81046OpenAlexW2040305375WikidataQ115230627 ScholiaQ115230627MaRDI QIDQ953056

Ben L. Cox

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2008.234.261

zbMATH Keywords

affine Lie algebrasFock spacesWakimoto modulesfour point algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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