# Unramified Whittaker functions for certain Brylinski-Deligne covering groups

## TL;DR

This paper computes specific values of unramified Whittaker functions for certain theta-like representations of Brylinski-Deligne covering groups of general linear groups.

## Contribution

It provides explicit calculations of Whittaker functions for a class of representations in Brylinski-Deligne covering groups, extending understanding of their harmonic analysis.

## Key findings

- Explicit formulas for unramified Whittaker functions.
- Identification of representations analogous to theta representations.
- Enhanced understanding of harmonic analysis on covering groups.

## Abstract

For a Brylinski-Deligne covering group of a general linear group, we calculate some values of unramified Whittaker functions for certain representations that are analogous to the theta representations.