n-Point Virasoro algebras and their modules of densities

DOI10.1142/S0219199713500478zbMath1355.17029arXiv1308.6815OpenAlexW2963647213MaRDI QIDQ5170122

Rencai Lü, Kaiming Zhao, Xiangqian Guo, Ben L. Cox

Publication date: 18 July 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6815

zbMATH Keywords

automorphism groupsVirasoro algebrasKrichever-Novikov algebrasuniversal central extensionsKlein groupsmodules of densities\(n\)-point algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Central extensions and Schur multipliers (19C09)

Related Items (14)

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ Module structure of the center of the universal central extension of a genus zero Krichever-Novikov algebra ⋮ Boson-fermion correspondence of type D-A and multi-local Virasoro representations on the Fock space $\mathit {F^{\otimes \frac{1}{2}}}$F⊗12 ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ Simple superelliptic Lie 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 ⋮ Certain families of polynomials arising in the study of hyperelliptic Lie algebras ⋮ 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 the module structure of the center of hyperelliptic Krichever-Novikov algebras ⋮ On the module structure of the center of hyperelliptic Krichever–Novikov algebras II ⋮ Families of orthogonal Laurent polynomials, hyperelliptic lie algebras and elliptic integrals ⋮ Virasoro Structures in the Twisted Vertex Algebra of the Particle Correspondence of Type C

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• DJKM algebras I: Their universal central extension
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