arXiv subjects

Haian HE

Publications and source records attributed to Haian HE.

2 recordsLinked to original sources

arXiv2014

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

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.

math.RT↗

arXiv2014

Classification of Compatible Parabolic Subalgebras for Complex Symmetric Pairs

In this paper, we shall recall and arrange the relationship between hyperbolic elements and parabolic subalgebras at first. And then, we shall classify all the compatible parabolic subalgebras containing a $τ$-stable Borel subalgebra for complex symmetric pairs $(\mathfrak{g},\mathfrak{g}^τ)$, where $τ$ is a involutive automorphism of $\mathfrak{g}$.

math.RA↗