Journal of Lie Theory

no. 3
Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1))
Journal of Lie Theory, Volume 30 (2020) no. 3, pp. 705-714
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.
DOI: 10.5802/jolt.1136
Classification: 22E46, 22E47
Keywords: Associated variety, discrete branching law, discrete series representation, Klein four symmetric pair 
@article{JOLT_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},
     doi = {10.5802/jolt.1136},
     zbl = {1479.22011},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1136/}
}
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%T Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1))
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%D 2020
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H. He. Kobayashi's Conjecture on Associated Varieties for Klein Four Symmetric Pairs (E6(-14), Spin(8,1)). Journal of Lie Theory, Volume 30 (2020) no. 3, pp. 705-714. doi: 10.5802/jolt.1136

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