Geodesic
Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1))
Haian He1
1Dept. of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
Journal of Lie Theory, Tome 30 (2020) no. 3, pp. 705-714

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

We confirm a conjecture on associated varieties by Toshiyuki Kobayashi for the Klein four symmetric pair (E6(-14), Spin(8,1)), which provides an alternative way to confirm the conjecture for the symmetric pair (Spin(8,2), Spin(8,1)). Also, for Klein four symmetric pairs (G, GΓ) with the exceptional simple Lie groups G of Hermitian type, there exists a discrete series representation of G which is GΓ-admissible if and only if (G, GΓ) is of holomorphic type.
Classification : 22E46, 22E47
Mots-clés : Associated variety, discrete branching law, discrete series representation, Klein four symmetric pair

Haian He  1

1 Dept. of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China 
Haian He. Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1)). Journal of Lie Theory, Tome 30 (2020) no. 3, pp. 705-714. http://geodesic.mathdoc.fr/item/JOLT_2020_30_3_a5/
@article{JOLT_2020_30_3_a5,
     author = {Haian He},
     title = {Kobayashi's {Conjecture} on {Associated} {Varieties} for {Klein} {Four} {Symmetric} {Pairs} {(E\protect\textsubscript{6(-14)},} {Spin(8,1))}},
     journal = {Journal of Lie Theory},
     pages = {705--714},
     year = {2020},
     volume = {30},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_3_a5/}
}
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