메뉴 건너뛰기




Volumn 278, Issue 1, 2004, Pages 251-293

A vector partition function for the multiplicities of slkℂ

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3242722876     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2003.12.005     Document Type: Article
Times cited : (30)

References (34)
  • 1
    • 0037497785 scopus 로고    scopus 로고
    • An arrangement of real hyperplanes and the partition function connected with it
    • Alekseevskaya T.V. Gelfand I.M. Zelevinskii A.V. An arrangement of real hyperplanes and the partition function connected with it Soviet Math. Dokl. 36 3 1998 589-593
    • (1998) Soviet Math. Dokl. , vol.36 , Issue.3 , pp. 589-593
    • Alekseevskaya, T.V.1    Gelfand, I.M.2    Zelevinskii, A.V.3
  • 2
    • 84874962985 scopus 로고
    • Convexity and commuting hamiltonians
    • Atiyah M.F. Convexity and commuting hamiltonians Bull. London Math. Soc. 14 1982 1-15
    • (1982) Bull. London Math. Soc. , vol.14 , pp. 1-15
    • Atiyah, M.F.1
  • 3
    • 0141539998 scopus 로고    scopus 로고
    • Combinatorial representation theory
    • L. J. Billera, A. Björner, C. Greene, R. E. Simion, & R. P. Stanley (Eds.), : Cambridge University Press
    • Barcelo H. Ram A. Combinatorial representation theory Billera L.J. Björner A. Greene C. Simion R.E. Stanley R.P. (Eds.) New Perspectives in Algebraic Combinatorics Math. Sci. Res. Inst. Publ. vol. 38 1999 23-90 Cambridge University Press
    • (1999) New Perspectives in Algebraic Combinatorics , vol.38 , pp. 23-90
    • Barcelo, H.1    Ram, A.2
  • 4
    • 0041655698 scopus 로고    scopus 로고
    • The polynomial behavior of weight multiplicities for classical simple lie algebras and classical affine Kac-Moody algebras
    • Benkart G. Kang S.-J. Lee H. Shin D.-U. The polynomial behavior of weight multiplicities for classical simple lie algebras and classical affine Kac-Moody algebras Contemp. Math. 248 1999 1-29
    • (1999) Contemp. Math. , vol.248 , pp. 1-29
    • Benkart, G.1    Kang, S.-J.2    Lee, H.3    Shin, D.-U.4
  • 5
    • 0002066339 scopus 로고
    • Some remarks on the theory of spherical functions on symmetric Riemannian manifolds
    • Berezin F.A. Gelfand I.M. Some remarks on the theory of spherical functions on symmetric Riemannian manifolds Amer. Math. Soc. Transl. Ser. 2 21 1962 193-238
    • (1962) Amer. Math. Soc. Transl. Ser. 2 , vol.21 , pp. 193-238
    • Berezin, F.A.1    Gelfand, I.M.2
  • 7
    • 34250229086 scopus 로고
    • On the variation in the cohomology of the symplectic form of the reduced phase space
    • Duistermaat J.J. Heckman G.J. On the variation in the cohomology of the symplectic form of the reduced phase space Invent. Math. 69 1982 259-268
    • (1982) Invent. Math. , vol.69 , pp. 259-268
    • Duistermaat, J.J.1    Heckman, G.J.2
  • 8
    • 4344650688 scopus 로고
    • Polynômes arithmétiques et Méthode des Polyèdres en Combinatoire
    • Birkhäuser
    • Ehrhart E. Polynômes arithmétiques et Méthode des Polyèdres en Combinatoire Internat. Ser. Numer. Math. vol. 35 1977 Birkhäuser
    • (1977) Internat. Ser. Numer. Math. , vol.35
    • Ehrhart, E.1
  • 9
    • 77955229595 scopus 로고    scopus 로고
    • Convex-A Maple package for convex geometry
    • available via Internet from, Maple package, Version 0.91, Konstanz
    • Franz M. Convex-A Maple package for convex geometry Maple package, Version 0.91, Konstanz, available via Internet from http://www.mathe.uni-konstanz.de/~franz/convex 2001
    • (2001)
    • Franz, M.1
  • 10
  • 11
    • 0003298287 scopus 로고
    • Representation Theory
    • Berlin: Springer-Verlag
    • Fulton W. Harris J. Representation Theory Grad. Texts in Math. vol. 129 1991 Springer-Verlag Berlin
    • (1991) Grad. Texts in Math. , vol.129
    • Fulton, W.1    Harris, J.2
  • 12
    • 0000834650 scopus 로고
    • Finite-dimensional representations of the group of unimodular matrices
    • (in Russian)
    • Gelfand I.M. Cetlin M.L. Finite-dimensional representations of the group of unimodular matrices Dokl. Akad. Nauk SSSR 71 1950 825-828 (in Russian)
    • (1950) Dokl. Akad. Nauk SSSR , vol.71 , pp. 825-828
    • Gelfand, I.M.1    Cetlin, M.L.2
  • 13
    • 0003263033 scopus 로고    scopus 로고
    • Representations and Invariants of the Classical Groups
    • Cambridge University Press
    • Goodman R. Wallach N.R. Representations and Invariants of the Classical Groups Encyclopedia Math. Appl. vol. 68 1998 Cambridge University Press
    • (1998) Encyclopedia Math. Appl. , vol.68
    • Goodman, R.1    Wallach, N.R.2
  • 14
    • 0004246655 scopus 로고    scopus 로고
    • Symplectic Fibrations and Multiplicity Diagrams
    • Cambridge University Press
    • Guillemin V. Lerman E. Sternberg S. Symplectic Fibrations and Multiplicity Diagrams 1996 Cambridge University Press
    • (1996)
    • Guillemin, V.1    Lerman, E.2    Sternberg, S.3
  • 15
    • 0000567544 scopus 로고
    • Convexity properties of the moment mapping
    • Guillemin V. Sternberg S. Convexity properties of the moment mapping Invent. Math. 67 1982 491-513
    • (1982) Invent. Math. , vol.67 , pp. 491-513
    • Guillemin, V.1    Sternberg, S.2
  • 16
    • 0010059047 scopus 로고
    • Projections of orbits and asymptotic behavior of multiplicities for compact Lie groups
    • PhD thesis, University of Leiden
    • G. Heckman, Projections of orbits and asymptotic behavior of multiplicities for compact Lie groups, PhD thesis, University of Leiden, 1980
    • (1980)
    • Heckman, G.1
  • 17
    • 0000206664 scopus 로고
    • Doubly stochastic matrices and the diagonal of a rotation matrix
    • Horn A. Doubly stochastic matrices and the diagonal of a rotation matrix Amer. J. Math. 76 1954 620-630
    • (1954) Amer. J. Math. , vol.76 , pp. 620-630
    • Horn, A.1
  • 18
    • 0003198090 scopus 로고
    • Introduction to Lie Algebras and Representation Theory
    • Springer
    • Humphreys J.E. Introduction to Lie Algebras and Representation Theory Grad. Texts in Math. vol. 9 1972 Springer
    • (1972) Grad. Texts in Math. , vol.9
    • Humphreys, J.E.1
  • 19
    • 0041333229 scopus 로고
    • The evaluation of weight multiplicities using characters and S-functions
    • King R.C. Plunkett S.P.O. The evaluation of weight multiplicities using characters and S-functions J. Phys. A 9 1976 863-887
    • (1976) J. Phys. A , vol.9 , pp. 863-887
    • King, R.C.1    Plunkett, S.P.O.2
  • 21
    • 0002320088 scopus 로고
    • A formula for the multiplicity of a weight
    • Kostant B. A formula for the multiplicity of a weight Trans. Amer. Math. Soc. 93 1 1959 53-73
    • (1959) Trans. Amer. Math. Soc. , vol.93 , Issue.1 , pp. 53-73
    • Kostant, B.1
  • 22
    • 0002535842 scopus 로고
    • Quantization and unitary representations
    • C. T. Taam (Ed.), Berlin: Springer-Verlag, Lecture Notes in Math
    • Kostant B. Quantization and unitary representations in: Taam C.T. (Ed.) Lectures in Modern Analysis and Applications III in: Lecture Notes in Math. vol. 170 1970 Springer-Verlag Berlin
    • (1970) Lectures in Modern Analysis and Applications III , vol.170
    • Kostant, B.1
  • 23
    • 0000368974 scopus 로고
    • On convexity, the Weyl group and the Iwasawa decomposition
    • Kostant B. On convexity, the Weyl group and the Iwasawa decomposition Ann. Sci. École Norm. Sup. (4) 6 1973 413-455
    • (1973) Ann. Sci. École Norm. Sup. , vol.6 , Issue.4 , pp. 413-455
    • Kostant, B.1
  • 25
    • 3242656629 scopus 로고    scopus 로고
    • Algebraic unimodular counting. Algebraic and geometric methods in discrete optimization
    • 90C10 (90C27 90C57)
    • De Loera J. Sturmfels B. Algebraic unimodular counting. Algebraic and geometric methods in discrete optimization, Math. Program. 96 2003 183-203 90C10 (90C27 90C57)
    • (2003) Math. Program , vol.96 , pp. 183-203
    • De Loera, J.1    Sturmfels, B.2
  • 26
    • 0346422603 scopus 로고    scopus 로고
    • On Riemann-Roch formulas for multiplicities
    • Meinrenken E. On Riemann-Roch formulas for multiplicities J. Amer. Math. Soc. 9 2 1996 373-389
    • (1996) J. Amer. Math. Soc. , vol.9 , Issue.2 , pp. 373-389
    • Meinrenken, E.1
  • 28
    • 0002679616 scopus 로고
    • Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinantentheorie
    • Schur I. Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinantentheorie Sitz.ber. Berlin Math. Ges. 22 1923 9-20
    • (1923) Sitz.ber. Berlin Math. Ges. , vol.22 , pp. 9-20
    • Schur, I.1
  • 29
    • 3242727987 scopus 로고    scopus 로고
    • Computational aspects of roots systems, Coxeter groups, and Weyl characters
    • Tokyo: Math. Soc. Japan
    • Stembridge J.R. Computational aspects of roots systems, Coxeter groups, and Weyl characters Interactions of Combinatorics and Representation Theory MSJ Mem. vol. 11 2001 1-38 Math. Soc. Japan Tokyo
    • (2001) Interactions of Combinatorics and Representation Theory , vol.11 , pp. 1-38
    • Stembridge, J.R.1
  • 30
    • 0037609023 scopus 로고
    • On vector partition functions
    • Sturmfels B. On vector partition functions J. Combin. Theory Ser. A 72 1995 302-309
    • (1995) J. Combin. Theory Ser. A , vol.72 , pp. 302-309
    • Sturmfels, B.1
  • 31
    • 0038523887 scopus 로고    scopus 로고
    • Residue formulae for vector partitions and Euler-Maclaurin sums
    • in press
    • Szenes A. Vergne M. Residue formulae for vector partitions and Euler-Maclaurin sums, Adv. Appl. Math., in press
    • Adv. Appl. Math.
    • Szenes, A.1    Vergne, M.2
  • 32
    • 0041048939 scopus 로고    scopus 로고
    • (i) and (ii)
    • (i) and (ii) Duke Math. J. 82 1 1996 143 179 181-194
    • (1996) Duke Math. J. , vol.82 , Issue.1 , pp. 143-179
  • 33
    • 0000290463 scopus 로고
    • Compact Lie Groups and Their Representations
    • Amer. Math. Soc
    • Želobenko D.P. Compact Lie Groups and Their Representations Transl. Math. Monogr. vol. 40 1973 Amer. Math. Soc.
    • (1973) Transl. Math. Monogr. , vol.40
    • Želobenko, D.P.1
  • 34
    • 0003222229 scopus 로고
    • Lectures on Polytopes
    • Berlin: Springer-Verlag
    • Ziegler G.M. Lectures on Polytopes Grad. Texts in Math. vol. 152 1995 Springer-Verlag Berlin
    • (1995) Grad. Texts in Math. , vol.152
    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.