The Saturation Property for Branching Rules—Examples

References

• Belkale , [Belkale and Kumar 10] Prakash and Shrawan , Kumar. 2010 . Eigencone, Saturation and Horn Problems for Symplectic and Odd Orthogonal Groups . J. Algebraic Geom. , 19 : 199 – 242 .
   Web of Science ®Google Scholar
• Brion , [Brion 12] Michel . 2012 . Restriction de représentations et projections d’orbites coadjointes [d’après Belkale, Kumar et Ressayre] . Astérisque , 339 Exp. No. 1043, x, 30, Séminaire Bourbaki, vol. 2011/2012
   Google Scholar
• Derksen , [Derksen and Weyman 00] Harm and Jerzy , Weyman. 2000 . Semi-invariants of Quivers and Saturation for Littlewood–Richardson Coefficients . J. Amer. Math. Soc. , 13 : 467 – 479 .
   Web of Science ®Google Scholar
• Élashvili , [Élashvili 92] Alexander G. 1992 . “ Invariant Algebras, Lie Groups, Their Discrete Subgroups, and Invariant Theory ” . In Adv. Soviet Math. , Vol. 8 , 57 – 64 . Amer. Math. Soc. .
   Google Scholar
• Fulton , [Fulton and Harris 91] William and Joe , Harris. 1991 . Representation Theory: A First Course , Springer-Verlag .
   Google Scholar
• Kapovich , [Kapovich and Millson 08] Michael , John , , and Millson , J. 2008 . A Path Model for Geodesics in Euclidean Buildings and Its Applications to Representation Theory . Groups Geom. Dyn. , 2 : 405 – 480 .
   Web of Science ®Google Scholar
• A , [Klyachko 98] Alexander and Klyachko , . 1998 . Stable Bundles, Representation Theory and Hermitian Operators . Selecta Math. (N.S.) , 4 : 419 – 445 .
   Google Scholar
• Knutson , [Knutson and Tao 99] Allen and Terence , Tao. 1999 . The Honeycomb Model of Tensor Products. I. Proof of the Saturation Conjecture . J. Amer. Math. Soc. , 12 : 1055 – 1090 .
   Web of Science ®Google Scholar
• Montagard , [Montagard et al. 11a] Pierre-Louis , Boris , Pasquier and Nicolas , Ressayre. 2011 . Generalizations of the PRV Conjecture, II .
   Google Scholar
• Montagard , [Montagard et al. 11b] Pierre-Louis , Boris , , and Nicolas , Pasquier Ressayre . 2011 . Two Generalisations of the PRV Conjecture . Compositio Math. , 147 : 1321 – 1336 .
   Web of Science ®Google Scholar
• Ressayre , [Ressayre 10a] Nicolas . 2010 . Geometric Invariant Theory and Generalized Eigenvalue Problem . Invent. Math. , 180 : 389 – 441 .
   Web of Science ®Google Scholar
• Ressayre , [Ressayre 10b] Nicolas . 2010 . Spherical Homogeneous Spaces of Minimal Rank . Adv. Math. , 224 : 1784 – 1800 .
   Web of Science ®Google Scholar
• Ressayre , [Ressayre and Richmond 11] Nicolas and Edward , Richmond . 2011 . Branching Schubert Calculus and the Belkale–Kumar Product on Cohomology . Proc. Amer. Math. Soc. , 139 : 835 – 848 .
   Web of Science ®Google Scholar
• V , [Sam 12] Steven Sam . 2012 . Symmetric Quivers, Invariant Theory, and Saturation Theorems for the Classical Groups . Adv. in Math. , 229 : 1104 – 1135 .
   Web of Science ®Google Scholar