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Beta super-functions on super-Grassmannians by Im, Mee Seong; Zakrzewski, Michal is a scholarly article available to read on EtoBox.

What is Beta super-functions on super-Grassmannians about?

Israel M. Gelfand gave a geometric interpretation for general hypergeometric functions as sections of the tautological bundle over a complex Grassmannian $G_{k,n}$. In particular, the beta function can be understood in terms of $G_{2,3}$. In this manuscript, we construct one of the simplest generalizations of the Euler beta function by adding arbitrary-many odd variables to the classical setting. We also relate the beta super-function to the gamma and the hypergeometric function.

Author

Im, Mee Seong; Zakrzewski, Michal

Published

2018

Language

EN