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arXiv · 2110.15474

On the Number of Representations for Simple Lie Groups

Mohammed Barhoush
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Abstract

The growth rate function $r_N$ counts the number of irreducible representations of simple complex Lie groups of dimension $N$. While no explicit formula is known for this function, previous works have found bounds for $R_N=\sum_{i=1}^Nr_i$. In this paper we improve on previous bounds and show that $R_N=O(N)$.

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BibTeXRIS

Mohammed Barhoush. 2021-10-29. On the Number of Representations for Simple Lie Groups. https://arxiv.org/abs/2110.15474

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