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- Title
Reduction for Branching Multiplicities.
- Authors
Chaput, Pierre-Emmanuel; Ressayre, Nicolas
- Abstract
A reduction formula for the branching coefficients of the restrictions of representations of a semisimple group to a semisimple subgroup is proved in [ 9 , 17 , 33 ]. This formula holds when the highest weights of the representations belong to a codimension |$1$| face of the Horn cone, which by [ 32 ] corresponds to some Schubert coefficient equal to |$1$|. We prove a similar reduction formula when this Schubert coefficient is equal to |$2$| and show some properties of the class of the branch divisor corresponding to a generically finite morphism naturally defined in this context.
- Subjects
BRANCHING processes; SEMISIMPLE Lie groups; MORPHISMS (Mathematics); MULTIPLICITY (Mathematics)
- Publication
IMRN: International Mathematics Research Notices, 2023, Vol 2023, Issue 17, p15207
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnac248