Journal of Lie Theory

no. 4
Branching Laws of Parabolic Verma Modules for Non-symmetric Polar Pairs
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.819
Classification: 17B10
Keywords: Branching law, parabolic Verma module, polar pair, Lie algebra 
@article{JOLT_2014_24_4_a7,
     author = {H. 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},
     doi = {10.5802/jolt.819},
     zbl = {1356.17006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.819/}
}
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H. He. Branching Laws of Parabolic Verma Modules for Non-symmetric Polar Pairs. Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1047-1066. doi: 10.5802/jolt.819

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