메뉴 건너뛰기




Volumn 207, Issue 1, 2002, Pages 77-124

Toda lattice and toric varieties for real split semisimple lie algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036869128     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2002.207.77     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 84974000691 scopus 로고
    • A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
    • MR 91g:58072, Zbl 0715.58004
    • A.M. Bloch, H. Flaschka and T. Ratiu, A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra, Duke Math. Journal, 61 (1990), 41-65, MR 91g:58072, Zbl 0715.58004.
    • (1990) Duke Math. Journal , vol.61 , pp. 41-65
    • Bloch, A.M.1    Flaschka, H.2    Ratiu, T.3
  • 2
    • 0034311608 scopus 로고    scopus 로고
    • Normality of torus orbit closures in G/P
    • MR 2001j:14067
    • J. Carrell and A. Kurth, Normality of torus orbit closures in G/P, J. Algebra, 233 (2000), 122-134, MR 2001j:14067.
    • (2000) J. Algebra , vol.233 , pp. 122-134
    • Carrell, J.1    Kurth, A.2
  • 3
    • 0001086638 scopus 로고    scopus 로고
    • On normality of the closure of a generic torus orbit in G/P
    • MR 97d:14067, Zbl 0969.14034
    • R. Dabrowski, On normality of the closure of a generic torus orbit in G/P, Pacific J. Math., 172(2), (1996), 321-330, MR 97d:14067, Zbl 0969.14034.
    • (1996) Pacific J. Math. , vol.172 , Issue.2 , pp. 321-330
    • Dabrowski, R.1
  • 4
    • 54649084102 scopus 로고    scopus 로고
    • Nonpositive curvature of blow-ups
    • MR 2001f:53078, Zbl 0924.53033
    • M. Davis, T. Januszkiewicz and R. Scott, Nonpositive curvature of blow-ups, Sel. Math. New Ser., 4 (1998), 491-547, MR 2001f:53078, Zbl 0924.53033.
    • (1998) Sel. Math. New Ser. , vol.4 , pp. 491-547
    • Davis, M.1    Januszkiewicz, T.2    Scott, R.3
  • 5
    • 0001404457 scopus 로고
    • Hamiltonian and system-theoretic properties of the HR-algorithm
    • MR 94b:93025, Zbl 0770.93016
    • L. Faybusovich, Hamiltonian and system-theoretic properties of the HR-algorithm, J. Math. Systems, Estimation and Control, 3 (1993), 129-146, MR 94b:93025, Zbl 0770.93016.
    • (1993) J. Math. Systems, Estimation and Control , vol.3 , pp. 129-146
    • Faybusovich, L.1
  • 6
    • 0030636836 scopus 로고    scopus 로고
    • Regularization of Toda lattices by Hamiltonian reduction
    • MR 97k:58078, Zbl 0865.58027
    • L. Feher and I. Tsutsui, Regularization of Toda lattices by Hamiltonian reduction, J. Geom. Phys., 21 (1997), 97-135, MR 97k:58078, Zbl 0865.58027.
    • (1997) J. Geom. Phys. , vol.21 , pp. 97-135
    • Feher, L.1    Tsutsui, I.2
  • 7
    • 0012331667 scopus 로고
    • Integrable systems and torus actions
    • Proceedings of the Cimpa School in Memory of Jean-Louis Verdier, World Scientific, Singapore, MR 98m:58052
    • H. Flaschka, Integrable systems and torus actions, in 'Lectures on Integrable Systems', Proceedings of the Cimpa School in Memory of Jean-Louis Verdier, World Scientific, Singapore, 1994, 43-101, MR 98m:58052.
    • (1994) Lectures on Integrable Systems , pp. 43-101
    • Flaschka, H.1
  • 8
    • 84974000313 scopus 로고
    • Torus orbits in G/P
    • MR 92e:14047, Zbl 0788.22017
    • H. Flaschka and L. Haine, Torus orbits in G/P, Pacific J. Math., 149 (1991), 251-292, MR 92e:14047, Zbl 0788.22017.
    • (1991) Pacific J. Math. , vol.149 , pp. 251-292
    • Flaschka, H.1    Haine, L.2
  • 9
    • 51249173283 scopus 로고
    • Varietes de drapeaux et reseaux de Toda
    • MR 93e:58080, Zbl 0744.58031
    • _, Varietes de drapeaux et reseaux de Toda, Math. Zeitschrift, 208 (1991), 545-556, MR 93e:58080, Zbl 0744.58031.
    • (1991) Math. Zeitschrift , vol.208 , pp. 545-556
  • 10
    • 0031285601 scopus 로고    scopus 로고
    • Completeness of real Toda flows and totally positive matrices
    • MR 99h:58085
    • M. Gekhtman and M. Shapiro, Completeness of real Toda flows and totally positive matrices, Math. Zeitschrift, 226 (1997), 51-66, MR 99h:58085.
    • (1997) Math. Zeitschrift , vol.226 , pp. 51-66
    • Gekhtman, M.1    Shapiro, M.2
  • 11
    • 0001666528 scopus 로고
    • Combinatorial geometries and torus strata on homogeneous compact manifolds
    • MR 89g:32049, Zbl 0639.14031
    • I.M. Gel'fand and V.V. Serganova, Combinatorial geometries and torus strata on homogeneous compact manifolds, Russ. Math. Surv., 42 (1987), 133-168, MR 89g:32049, Zbl 0639.14031.
    • (1987) Russ. Math. Surv. , vol.42 , pp. 133-168
    • Gel'fand, I.M.1    Serganova, V.V.2
  • 12
    • 0003774747 scopus 로고
    • Cambridge University Press, MR 92k:17038, Zbl 0716.17022
    • V. Kac, Infinite Dimensional Lie Algebras, Cambridge University Press, 1990, MR 92k:17038, Zbl 0716.17022.
    • (1990) Infinite Dimensional Lie Algebras
    • Kac, V.1
  • 13
    • 4344703304 scopus 로고    scopus 로고
    • Lie groups beyond an introduction
    • Birkhauser, Boston-Basel-Berlin, MR 98b:22002, Zbl 0862.22006
    • A. Knapp, Lie Groups Beyond an Introduction, Progress in Mathematics, 140, Birkhauser, Boston-Basel-Berlin, 1996, MR 98b:22002, Zbl 0862.22006.
    • (1996) Progress in Mathematics , vol.140
    • Knapp, A.1
  • 14
    • 0000560858 scopus 로고    scopus 로고
    • Toda lattices with indefinite metric
    • MR 96m:58113, Zbl 0890.58025
    • Y. Kodama and J. Ye, Toda lattices with indefinite metric, Physica, D91 (1996), 321-339, MR 96m:58113, Zbl 0890.58025.
    • (1996) Physica , vol.D91 , pp. 321-339
    • Kodama, Y.1    Ye, J.2
  • 15
    • 0039863443 scopus 로고    scopus 로고
    • Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds
    • MR 2000i:37086, Zbl 0939.37044
    • _, Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds, Physica, D121 (1998), 89-108, MR 2000i:37086, Zbl 0939.37044.
    • (1998) Physica , vol.D121 , pp. 89-108
  • 16
    • 0000876641 scopus 로고
    • The solution to a generalized Toda lattice and representation theory
    • MR 82f:58045, Zbl 0433.22008
    • B. Kostant, The solution to a generalized Toda lattice and representation theory, Advances in Math., 34 (1979), 195-338, MR 82f:58045, Zbl 0433.22008.
    • (1979) Advances in Math. , vol.34 , pp. 195-338
    • Kostant, B.1
  • 18
    • 0003734371 scopus 로고
    • Addison Wesley Publishing Company, MR 85m:55001, Zbl 0673.55001
    • J. Munkres, Elements of Algebraic Topology, Addison Wesley Publishing Company, 1984, MR 85m:55001, Zbl 0673.55001.
    • (1984) Elements of Algebraic Topology
    • Munkres, J.1
  • 20
    • 0003805793 scopus 로고
    • Springer Verlag, MR 82k:58052b, Zbl 0465.70014
    • M. Toda, Theory of Nonlinear Lattices, Springer Verlag, 1981, MR 82k:58052b, Zbl 0465.70014.
    • (1981) Theory of Nonlinear Lattices
    • Toda, M.1
  • 21
    • 0001600603 scopus 로고
    • The topology of isospectral manifolds of tridiagonal matrices
    • MR 86d:58091, Zbl 0558.57006
    • C. Tomei, The topology of isospectral manifolds of tridiagonal matrices, Duke Math. Journal, 51 (1984), 981-996, MR 86d:58091, Zbl 0558.57006.
    • (1984) Duke Math. Journal , vol.51 , pp. 981-996
    • Tomei, C.1
  • 22
    • 0003334510 scopus 로고
    • Real reductive groups I
    • Academic Press, MR 89i:22029, Zbl 0666.22002
    • N. Wallach, Real Reductive Groups I, Pure and Applied Mathematics, 132, Academic Press, 1988, MR 89i:22029, Zbl 0666.22002.
    • (1988) Pure and Applied Mathematics , vol.132
    • Wallach, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.