The q-analog of Kostant's partition function for $\mathfrak{sl_\textrm{4}(\mathbb{C})} $ and $\mathfrak{sp_\textrm{6}(\mathbb{C})}$

نویسندگان
Shahi, Ebrahim ID 1
Marefat, Yadollah ID 2
Refaghat, Hasan ID 3

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

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

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

doi
10.22075/ijnaa.2022.29218.4090
چکیده

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.

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