An invariant subbundle of the KZ connection mod \(p\) and reducibility of \(\widehat{{\mathfrak{sl}_2}}\) Verma modules mod \(p\)

DOI10.1134/S0001434621030068zbMath1490.81090arXiv2002.05834OpenAlexW3178913109MaRDI QIDQ2037675

Alexander Varchenko

Publication date: 8 July 2021

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

Full work available at URL: https://arxiv.org/abs/2002.05834

zbMATH Keywords

KZ equationsreduction to characteristic \(p\)\(\mathbb{F}_p\)-hypergeometric solutions

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite ground fields in algebraic geometry (14G15) Connections (general theory) (53C05) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

The \({{\mathbb{F}}}_p\)-Selberg integral, Determinant of 𝔽_{𝕡}-hypergeometric solutions under ample reduction, On the number of \(p\)-hypergeometric solutions of KZ equations, Calogero-Moser eigenfunctions modulo \(p^s\), GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS

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