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arXiv · 1310.5646

Branching Laws of Generalized Verma Modules for Non-symmetric Polar Pairs

Haian HE
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Abstract

We give branching formulas from $so(7,\mathbb{C})$ to $\mathfrak{g}_2$ for generalized Verma modules attached to $\mathfrak{g}_2$-compatible parabolic subalgebras of $so(7,\mathbb{C})$, and branching formulas from $\mathfrak{g}_2$ to $sl(3,\mathbb{C})$ for generalized Verma modules attached to $sl(3,\mathbb{C})$-compatible parabolic subalgebras of $\mathfrak{g}_2$ respectively, under some assumptions on the parameters of generalized Verma modules.

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BibTeXRIS

Haian HE. 2014-04-06. Branching Laws of Generalized Verma Modules for Non-symmetric Polar Pairs. https://arxiv.org/abs/1310.5646

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