Geodesic
Parity Preservation of K-Types under the Theta Correspondence
Xiang Fan1
1School of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China
Journal of Lie Theory, Tome 28 (2018) no. 3, pp. 663-672

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

This note shows a property of degree-parity preservation for K-types under Howe's theta correspondence. As its application, we deduce the preservation of parity of all K-types occurring in an arbitrary irreducible (g, K)-module of any Lie group in reductive dual pairs.
Classification : 22E46, 11F27
Mots-clés : Theta correspondence, reductive dual pair, Howe duality, K-type, degree, parity

Xiang Fan  1

1 School of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China 
Xiang Fan. Parity Preservation of K-Types under the Theta Correspondence. Journal of Lie Theory, Tome 28 (2018) no. 3, pp. 663-672. http://geodesic.mathdoc.fr/item/JOLT_2018_28_3_a3/
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     title = {Parity {Preservation} of {K-Types} under the {Theta} {Correspondence}},
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     volume = {28},
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