Geodesic
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
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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 
@article{JLT_2020_30_3_JLT_2020_30_3_a5,
     author = {H. 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/JLT_2020_30_3_JLT_2020_30_3_a5/}
}
TY  - JOUR
AU  - H. He
TI  - Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1))
JO  - Journal of Lie theory
PY  - 2020
SP  - 705
EP  - 714
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JLT_2020_30_3_JLT_2020_30_3_a5/
ID  - JLT_2020_30_3_JLT_2020_30_3_a5
ER  - 
%0 Journal Article
%A H. He
%T Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1))
%J Journal of Lie theory
%D 2020
%P 705-714
%V 30
%N 3
%U http://geodesic.mathdoc.fr/item/JLT_2020_30_3_JLT_2020_30_3_a5/
%F JLT_2020_30_3_JLT_2020_30_3_a5
H. 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/JLT_2020_30_3_JLT_2020_30_3_a5/