Sums of adjoint orbits

References

• Atiyah , M. 1982 . [1] Convexity and commuting hamiltonians . Bull. London Math. Soc , 23 : 1 – 15 .
   Google Scholar
• Atiyah , M. 1983 . [2] Angular momentum, convex polyhydra and algebraic geometry . Proc. Edinburgh Math. Soc , 26 ( 2 ) : 121 – 138 .
   Web of Science ®Google Scholar
• Dooley and Wildberger , N. J. 1983 . [1] Harmonic analysis and the global exponential map for compact Lie groups . Functional Anal. Appl , 26 ( 2 ) (to appear).
   Google Scholar
• Guillemin , V. and Prato , E. 1990 . [1]: Heckman, kostant and steinberg formulas for symplectic manifolds . Adv.Math , 8 ( 2 ) : 160 – 179 .
   Google Scholar
• Guillemin , V. and Sternberg , S. 1984 . [1] Convexity properties of the moment mapping . Invent. Math , 67 ( 2 ) : 491 – 513 .
   Google Scholar
• Guillemin , V. and Sternberg , S. 1984 . [2] Convexity properties of the moment mapping II . Invent. Math , 77 ( 2 ) : 533 – 546 .
   Google Scholar
• Heckman , G. 1982 . [1] Projections of orbits and asymptotic behaviour of multiplicities for compact connected Lie groups . Invent. Math , 67 ( 2 ) : 333 – 356 .
   Web of Science ®Google Scholar
• Horn , A. 1962 . [1] Eigenvalues of sums of Hermitian matrices . Pac. J. Math , 12 ( 1 ) : 225 – 241 .
   Web of Science ®Google Scholar
• Humphreys , J. E. 1972 . [1] Introduction to Lie Algebras and Representation Theory GTM 9 , New York : Springer-Verlag .
   Google Scholar
• Kirwan , F. 1984 . [1] Convexity properties of the moment mapping III . Invent. Math , 77 : 547 – 552 .
   Google Scholar
• Klimyk , A. 1984 . [1] Decompositions of a tensor product of irreducible representations of a semisimple Lie algebra into a direct sum of irreducible representations . Amer. Math. Soc. Trans., , 76 Series 2
   Google Scholar
• Klimyk , A. 1968 . [1] Decompositions of a tensor product of irreducible representations of a semisimple Lie algebra into a direct sum of irreducible representations . Providence: Amer. Math. Soc , 76
   Google Scholar
• Lidskii , B. V. 1982 . [1] Spectral polyhedron of a sum of two hermitian matrices . Funktionalnyi Analizi: Ego Prilozhenya , 16 : 76 – 77 .
   Google Scholar
• Lidskii , V. B. 1950 . [1] Characteristic numbers of the sum and product of symmetric matrices . Dokl. Akad. Nauk SSR , 75 ( 6 ) : 769 – 772 .
   Google Scholar
• Repka , J. and Wildberger , N. J. 1990 . [1] Invariant measure on sums of symmetric 3 × 3 matrices with specified eigenvalues . J. Phys. A: Math. Gen , 23 ( 6 ) : 5717 – 5724 .
   Google Scholar
• Silva , E. C. 1987 . [1] The eigenvalues of the sum of matrices with prescribed invariant polynomials . Linear and Multilinear Algebra , 22 ( 6 ) : 7 – 13 .
   Google Scholar
• Silva , F. C. 1988 . [2] The eigenvalues of the sum of matrices with prescribed invariant polynomials II . Linear and Multilinear Algebra , 24 ( 6 ) : 45 – 49 .
   Google Scholar
• Weyl , H. 1912 . [1] Das asymptotische Verteilungsgesetz der Eigenverte linearer partieller Differentialgleichungen . Math. Ann , 71 ( 6 ) : 441 – 479 .
   Google Scholar
• Wielandt , H. 1955 . [1] An extremum property of sums of eigenvalues . Proc. Amer. Math. Soc , 6 ( 6 ) : 106 – 110 .
   Google Scholar
• Wildberger , N. J. 1990 . [1] On a relationship between adjoint orbits and conjugacy classes of a Lie group . Canad. Math. Bull , 33 ( 3 ) : 297 – 304 .
   Web of Science ®Google Scholar
• Wildberger , N. J. 1992 . [2] Hypergroups and harmonic analysis . Proc. Centre Math. Anal. (ANU) , 29 ( 3 ) : 238 – 253 .
   Google Scholar