Legendre polynomials and the elliptic genus

DOI10.1016/0021-8693(92)90177-NzbMath0790.33010MaRDI QIDQ1183283

Jean-Luc Brylinski

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Legendre polynomialsHonda's congruencesSchur congruences

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Elliptic curves over global fields (11G05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Characteristic classes and numbers in differential topology (57R20) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Elliptic genera (58J26) Holomorphic modular forms of integral weight (11F11) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Classical hypergeometric functions, ({}_2F_1) (33C05) Formal groups, (p)-divisible groups (14L05)

Related Items (1)

Control theory, integral matrices, and orthogonal polynomials

Cites Work

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• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• Loop groups and equations of KdV type
• Ordinary and modular representations of Chevalley groups
• Two congruence properties of Legendre polynomials
• New cases of irreducibility for Legendre polynomials
• Quelques propriétés globales des variétés différentiables
• Generating Functions for Bessel and Related Polynomials

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