The invariant holonomic system on a semisimple Lie algebra.
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R. Hotta, M. Kashiwara (1984)
Inventiones mathematicae
Piero Villaggio (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Paolo de Bartolomeis, Giuseppe Tomassini (1981)
Compositio Mathematica
Igor Kříž, Yang Xiu (2012)
Archivum Mathematicum
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over . We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over .
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