The solution to a generalized Toda lattice and representation theory

Advances in Mathematics

Volumn 34, Issue 3, 1979, Pages 195-338

  Kostant, Bertram ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000876641     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/0001-8708(79)90057-4     Document Type: Review

References (30)

1. Polarization and unitary representations of solvable Lie groups
2. On perturbations of the periodic Toda lattice
3. Algèbres enveloppantes
4. The structure of semi-simple Lie algebras
5. Semi-simple subalgebras of semi-simple Lie algebras
6. The maximal subgroups of the classical groups
7. On the Toda lattice, I
8. On the Toda lattice II
9. Representations of the group Gl(n, K) where K is a local field
10. Introduction to Lie Algebras and Representation Theory
11. The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group
12. Lie algebra cohomology and the generalized Borel-Weil theorem
13. Lie group representations on polynomial rings
14. Quantization and unitary representations
15. On convexity, the Weyl group and the Iwasawa decomposition
16. On Whittaker vectors and representation theory
17. Orbits and representations associated with symmetric spaces
18. Finitely many mass points on the line under the influence of an exponential potential—an integrable system
19. Completely integrable Hamiltonian systems connected with semi-simple Lie algebras
20. On the theory of exponential groups
21. Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras
22. Studies of a non-linear lattice
23. The spectrum of Jacobi matrices
24. On a trace functional for formal pseudodifferential operators and the symplectic structure for the Korteweg-de Vries type equations