Document Type : Special issue editorial

Authors

• Ebrahim Shahi ¹
• Hasan Refaghat ¹
• Yadollah Marefat ²

¹ Department of Mathematics, Tabriz Branch, Islamic Azad University Tabriz, Iran

² Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran

Abstract

In this paper, we consider the q-analog of Kostant's Partition Function of Lie algebras  $\mathfrak{sl_\textrm{4}(\mathbb{C})} $ and $\mathfrak{sp_\textrm{6}(\mathbb{C})}$ and present a closed formula for the values of these functions.

Keywords

• symplectic Lie algebra
• positive root
• q-analog of Kostant’s
• partition function