Comptes Rendus
Théorie des représentations
The Horn cone associated with symplectic eigenvalues
Paul-Emile Paradan1 
1 IMAG, Univ Montpellier, CNRS, France
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1163-1168.

In this note, we show that the Horn cone associated with symplectic eigenvalues admits the same inequalities as the classical Horn cone, except that the equality corresponding to Tr(C)=Tr(A)+Tr(B) is replaced by the inequality corresponding to Tr(C)≥Tr(A)+Tr(B).

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DOI : 10.5802/crmath.383
Classification : 00X99
Paul-Emile Paradan 1

1 IMAG, Univ Montpellier, CNRS, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {The {Horn} cone associated with symplectic eigenvalues},
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Paul-Emile Paradan. The Horn cone associated with symplectic eigenvalues. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1163-1168. doi : 10.5802/crmath.383. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.383/

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