Kobayashi's conjecture on associated varieties for Klein four symmetric pairs (E_{6(-14)}, Spin(8,1))
Kobayashi's conjecture on associated varieties for Klein four symmetric pairs (E_{6(-14)}, Spin(8,1))
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小林关于克莱因四个对称对的关联簇的猜想 (E_{6(-14)}, Spin(8,1))
作者：
Haian HE
本文证实了小林关于Klein四元对称对（E_{6（-14）}，Spin（8，1））的一个相伴簇的猜想，这为证实对称对（Spin（8，2），Spin（8，1））的猜想提供了一种新的途径.另外，对于Klein四对称对（G，G^Gamma），其特殊单李群G为Hermitian型，存在G的离散级数表示G^Gamma-容许当且仅当（G，G^Gamma）为全纯型.
We confirm a conjecture on associated varieties by Toshiyuki Kobayashi for the Klein four symmetric pair (E_{6(-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,G^Gamma) with the exceptional simple Lie groups G of Hermitian type, there exists a discrete series representation of G which is G^Gamma-admissible if and only if (G,G^Gamma) is of holomorphic type.