Reductibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral

DOI10.1017/S0027763000004633zbMath0833.33012OpenAlexW1931852614MaRDI QIDQ4278764

Katsuhisa Mimachi

Publication date: 17 March 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004633

zbMATH Keywords

Lie algebrasSelberg type integral

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Lie algebras of linear algebraic groups (17B45) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Holomorphic fiber spaces (32L99)

Related Items

REGULARIZABLE CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL UNDER SOME RESONANCE CONDITION ⋮ The importance of the Selberg integral ⋮ Multiplicative middle convolution for KZ equations ⋮ The connection problem associated with a Selberg type integral and the q-Racah polynomials

Cites Work

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• Algebraic geometry and analytic geometry
• Fock space representations of the Virasoro algebra. Intertwining operators
• Gauss-Manin connection of integral of difference products
• Arrangements of hyperplanes and Lie algebra homology
• Cohomology of local systems on the complement of hyperplanes
• Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
• On a generalization of Hilbert's 21st problem