Dual pairs correspondences of E 8,4 and E 7,4
Identifieur interne : 001587 ( Main/Exploration ); précédent : 001586; suivant : 001588Dual pairs correspondences of E 8,4 and E 7,4
Auteurs : Hung Y. Loke [Singapour]Source :
- Israel Journal of Mathematics [ 0021-2172 ] ; 1999-12-01.
Abstract
Abstract: In this paper we state and prove the dual pairs correspondences of Spin(4,4)×Spin(8) inE 8,4 andF 4,4×SU2 and Spin(4,4)×SU 2 3 inE 7,4. For the first dual pair, every finite dimensional representation of Spin(8) occurs and each corresponds with finite but unbounded multiplicity to a quaternionic representation of Spin(4,4) having the same infinitesimal character. For the other two dual pairs the correspondences are one to one.
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DOI: 10.1007/BF02780175
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