%0 Journal Article %A X. Fan %T Parity Preservation of K-Types under the Theta Correspondence %J Journal of Lie theory %D 2018 %P 663-672 %V 28 %N 3 %U http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a3/ %F JLT_2018_28_3_JLT_2018_28_3_a3