scientific article; zbMATH DE number 2104600

zbMath1115.17010arXivmath/0210360MaRDI QIDQ4818709

Martin Schlichenmaier

Publication date: 1 October 2004

Full work available at URL: https://arxiv.org/abs/math/0210360

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

conformal field theorylocal cocyclesinfinite-dimensional Lie algebrasaffine algebrasKrichever-Novikov algebrasdifferential operator algebrascentral extensions, almost-grading

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Cohomology of Lie (super)algebras (17B56) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (17)

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ DJKM algebras and non-classical orthogonal polynomials ⋮ The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra ⋮ Higher-dimensional automorphic Lie algebras ⋮ Simple superelliptic Lie algebras ⋮ Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds ⋮ Lax operator algebras ⋮ Global geometric deformations of the Virasoro algebra, current and affine algebras by 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 ⋮ Global geometric deformations of current algebras as Krichever-Novikov type algebras ⋮ Certain families of polynomials arising in the study of hyperelliptic Lie algebras ⋮ Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics ⋮ The 3-point Virasoro algebra and its action on a Fock space ⋮ Lax operator algebras and integrable hierarchies ⋮ DJKM algebras I: Their universal central extension ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond ⋮ Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra

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