On a matrix element representation of special functions associated with toric varieties

TL;DR

This paper introduces a representation theory framework for special functions linked to toric varieties, demonstrating these functions as matrix elements of specific non-reductive Lie algebras, thus providing a new algebraic perspective.

Contribution

It presents a novel approach connecting special functions of toric varieties with matrix elements of non-reductive Lie algebras, expanding the algebraic understanding of these functions.

Findings

Special functions are expressed as matrix elements of non-reductive Lie algebras

The approach offers new insights into the algebraic structure of functions associated with toric varieties

Provides a foundation for further algebraic analysis of toric variety-related functions

Abstract

We develop representation theory approach to the study of special functions associated with toric varieties. In particular we show that the corresponding special functions are given by matrix elements of certain non-reductive Lie algebras