Subalgebras of gcN and Jacobi Polynomials

DOI10.4153/CMB-2002-055-9zbMath1037.17025arXivmath-ph/0112028MaRDI QIDQ4796564

Alberto De Sole, Victor G. Kac

Publication date: 2002

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0112028

zbMATH Keywords

Virasoro algebraJacobi polynomialLie conformal algebra\(\mathbb{C}(\partial)\)-module

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (13)

\(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮ Finite growth representations of infinite Lie conformal algebras ⋮ Low dimensional cohomology of general conformal algebras gcN ⋮ Associative algebras related to conformal algebras. ⋮ Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type ⋮ Finite growth representations of conformal Lie algebras that contain a Virasoro subalgebra ⋮ Simplicity of quadratic Lie conformal algebras ⋮ Associative conformal algebras with finite faithful representation. ⋮ On finite representations of conformal algebras ⋮ A note on generalized semicommutative rings ⋮ Extensions of conformal modules over Lie conformal algebras of Block type ⋮ Simple associative conformal algebras of linear growth ⋮ On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\).

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