1Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong 2Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang District, Shanghai, P. R. China
Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 1047-1066
\def\g{{\frak g}} \def\C{{\Bbb C}} We give branching formulas from so$(7,\C)$ to $\g_2$ for parabolic Verma modules attached to $\g_2$-compatible parabolic subalgebras of so$(7,\C)$, and branching formulas from $\g_2$ to sl$(3,\C)$ for parabolic Verma modules attached to sl$(3,\C)$-compatible parabolic subalgebras of $\g_2$ respectively, under some assumptions on the parameters of parabolic Verma modules.
1
Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2
Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang District, Shanghai, P. R. China
Haian He. Branching Laws of Parabolic Verma Modules for Non-symmetric Polar Pairs. Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 1047-1066. http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a7/
@article{JOLT_2014_24_4_a7,
author = {Haian He},
title = {Branching {Laws} of {Parabolic} {Verma} {Modules} for {Non-symmetric} {Polar} {Pairs}},
journal = {Journal of Lie Theory},
pages = {1047--1066},
year = {2014},
volume = {24},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a7/}
}
TY - JOUR
AU - Haian He
TI - Branching Laws of Parabolic Verma Modules for Non-symmetric Polar Pairs
JO - Journal of Lie Theory
PY - 2014
SP - 1047
EP - 1066
VL - 24
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a7/
ID - JOLT_2014_24_4_a7
ER -
%0 Journal Article
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%J Journal of Lie Theory
%D 2014
%P 1047-1066
%V 24
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a7/
%F JOLT_2014_24_4_a7
