Geodesic
Branching Laws of Parabolic Verma Modules for Non-symmetric Polar Pairs
Haian He1, 2
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

Voir la notice de l'article provenant de la source Heldermann Verlag

\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.
Classification : 17B10
Mots-clés : Branching law, parabolic Verma module, polar pair, Lie algebra

Haian He  1 , 2

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/}
}
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