The Shi arrangement of the type $D_\ell$

TL;DR

This paper provides an explicit basis for the derivation module of the cone over the Shi arrangement of type D_ll, advancing the understanding of its algebraic structure.

Contribution

It introduces a new explicit basis for the derivation module associated with the type D_ll Shi arrangement.

Findings

Explicit basis for the derivation module is constructed.

Enhances algebraic understanding of the type D_ll Shi arrangement.

Facilitates further algebraic and combinatorial analysis.

Abstract

In this paper, we give a basis for the derivation module of the cone over the Shi arrangement of the type $D_\ell$ explicitly.