Realizations of the three-point Lie algebra \(\mathfrak{sl}(2, \mathcal R) \oplus(\Omega_{\mathcal R}/d{\mathcal R})\)

DOI10.2140/pjm.2014.270.27zbMath1355.17030arXiv1303.6973OpenAlexW3102087019WikidataQ115230588 ScholiaQ115230588MaRDI QIDQ461296

Elizabeth Jurisich, Ben L. Cox

Publication date: 10 October 2014

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

Full work available at URL: https://arxiv.org/abs/1303.6973

zbMATH Keywords

affine Lie algebrasFock spacesKrichever-Novikov algebrasDate-Jimbo-Kashiwara-Miwa algebrafree field realizationsthree point algebrasWakimoto modules

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (12)

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ On the universal central extension of superelliptic affine Lie algebras ⋮ Realizations of 𝐴₁⁽¹⁾-modules in category ̃𝒪 ⋮ On Realizations of Some Plane Algebroid Curves ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ The three point gauge algebra \(\mathcal{V} \ltimes \mathfrak{sl}(2, \mathcal{R}) \oplus(\Omega_{\mathcal{R}} / d \mathcal{R})\) and its action on a Fock space ⋮ The 3-point Virasoro algebra and its action on a Fock space ⋮ On the universal central extension of hyperelliptic current algebras ⋮ Representations for three-point Lie algebras of genus zero ⋮ On self-similar Lie algebras and virtual endomorphisms ⋮ Representations of Lie algebras ⋮ Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra

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