메뉴 건너뛰기




Volumn 140, Issue 3, 2000, Pages 511-561

Principal nilpotent pairs in a semisimple Lie algebra 1

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034349074     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050371     Document Type: Article
Times cited : (42)

References (33)
  • 2
    • 0002211563 scopus 로고
    • Unipotent representations of complex semisimple groups
    • [BV] D. Barbasch, D. Vogan, Unipotent representations of complex semisimple groups. Ann. Math. 121 (1985), no. 1, 41-110
    • (1985) Ann. Math. , vol.121 , Issue.1 , pp. 41-110
    • Barbasch, D.1    Vogan, D.2
  • 3
    • 0003161565 scopus 로고
    • Partial resolutions of the nilpotent variety
    • [BM] W. Borho, R. MacPherson, Partial resolutions of the nilpotent variety. Asterisque 101-102 (1982), 23-74
    • (1982) Asterisque , vol.101-102 , pp. 23-74
    • Borho, W.1    MacPherson, R.2
  • 4
    • 84968501323 scopus 로고
    • Limits of weight spaces, Lusztig's q-analogs, and fibering of coajoint orbits
    • [Br] R. K. Brylinski, Limits of weight spaces, Lusztig's q-analogs, and fibering of coajoint orbits. J. A.M.S. 2 (1989), 517-534
    • (1989) J. A.M.S. , vol.2 , pp. 517-534
    • Brylinski, R.K.1
  • 8
    • 0000211148 scopus 로고
    • Semisimple subalgebras of semisimple Lie algebras
    • Russian
    • [Dy] E.B. Dynkin, Semisimple subalgebras of semisimple Lie algebras. Matem. Sbornik 30 (1952), 349-462 (Russian). English translation: Amer. Math. Soc. Transl. II Ser., 6 (1957), 245-378
    • (1952) Matem. Sbornik , vol.30 , pp. 349-462
    • Dynkin, E.B.1
  • 9
    • 0002012811 scopus 로고
    • English translation
    • [Dy] E.B. Dynkin, Semisimple subalgebras of semisimple Lie algebras. Matem. Sbornik 30 (1952), 349-462 (Russian). English translation: Amer. Math. Soc. Transl. II Ser., 6 (1957), 245-378
    • (1957) Amer. Math. Soc. Transl. II Ser. , vol.6 , pp. 245-378
  • 10
    • 0000020940 scopus 로고
    • The centralizers of nilpotent elements in semisimple Lie algebras
    • Russian
    • [E11] A.G. Elashvili, The centralizers of nilpotent elements in semisimple Lie algebras. Trudy Tbiliss. Matem. Inst. 46 (1975), 109-132 (Russian)
    • (1975) Trudy Tbiliss. Matem. Inst. , vol.46 , pp. 109-132
    • Elashvili, A.G.1
  • 11
    • 0002103163 scopus 로고
    • Sheets of the exceptional Lie algebras
    • Tbilisi Russian
    • [E12] A.G. Elashvili, Sheets of the exceptional Lie algebras. In "Issledovaniya po algebre", Tbilisi 1985, 171-194 (Russian)
    • (1985) Issledovaniya po Algebre , pp. 171-194
    • Elashvili, A.G.1
  • 12
    • 0027538476 scopus 로고
    • A graded representation model for Macdonald's polynomials
    • [GH] A.M. Garsia, M. Haiman, A graded representation model for Macdonald's polynomials. Proc. Nat. Acad. Sci. USA 90 (1993), 3607-3610
    • (1993) Proc. Nat. Acad. Sci. USA , vol.90 , pp. 3607-3610
    • Garsia, A.M.1    Haiman, M.2
  • 14
    • 0000851962 scopus 로고
    • Goldie rank polynomials in a semisimple Lie algebra III
    • [J1] A. Joseph, Goldie rank polynomials in a semisimple Lie algebra III. J. Algebra 73 (1981), 295-326
    • (1981) J. Algebra , vol.73 , pp. 295-326
    • Joseph, A.1
  • 15
    • 38249016905 scopus 로고
    • Characters of unipotent representations
    • [J2] A. Joseph, Characters of unipotent representations. J. Algebra 130 (1990), 273-295
    • (1990) J. Algebra , vol.130 , pp. 273-295
    • Joseph, A.1
  • 16
    • 34250264460 scopus 로고
    • Representations of Coxeter groups and Hecke algebras
    • [KL] D. Kazhdan, G. Lusztig, Representations of Coxeter groups and Hecke algebras. Invent. math. 53 (1979), 165-184
    • (1979) Invent. Math. , vol.53 , pp. 165-184
    • Kazhdan, D.1    Lusztig, G.2
  • 17
    • 0002379841 scopus 로고
    • Induced conjugacy classes in classical Lie-algebras Abh
    • [Ke] G. Kempken, Induced conjugacy classes in classical Lie-algebras Abh. Math. Sem. Univ. Hamburg 53 (1983), 53-83
    • (1983) Math. Sem. Univ. Hamburg , vol.53 , pp. 53-83
    • Kempken, G.1
  • 18
    • 0001318371 scopus 로고
    • The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group
    • [K1] B. Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Amer. J. Math. 81 (1959), 973-1032
    • (1959) Amer. J. Math. , vol.81 , pp. 973-1032
    • Kostant, B.1
  • 19
    • 0001100313 scopus 로고
    • Lie group representations on polynomial rings
    • [K2] B. Kostant, Lie group representations on polynomial rings. Amer. J. Math. 85 (1963), 327-404
    • (1963) Amer. J. Math. , vol.85 , pp. 327-404
    • Kostant, B.1
  • 20
    • 0000482115 scopus 로고
    • On Whittaker vectors and representation theory
    • [K3] B. Kostant, On Whittaker vectors and representation theory. Invent. math. 48 (1978), 101-184
    • (1978) Invent. Math. , vol.48 , pp. 101-184
    • Kostant, B.1
  • 21
    • 0000860502 scopus 로고
    • Singularities, character formulas and a q-analog of weight multiplicity
    • [L1] G. Lusztig, Singularities, Character formulas and a q-analog of weight multiplicity. Asterisque 101-102 (1983), 208-229
    • (1983) Asterisque , vol.101-102 , pp. 208-229
    • Lusztig, G.1
  • 23
    • 49249153283 scopus 로고
    • A class of irreducible representations of a Weyl group I, II
    • [L3] G. Lusztig, A class of irreducible representations of a Weyl group I, II. Indag. Math. 41 (1979), 323-335; 44 (1982), 219-226
    • (1979) Indag. Math. , vol.41 , pp. 323-335
    • Lusztig, G.1
  • 24
    • 49249153283 scopus 로고
    • [L3] G. Lusztig, A class of irreducible representations of a Weyl group I, II. Indag. Math. 41 (1979), 323-335; 44 (1982), 219-226
    • (1982) Indag. Math. , vol.44 , pp. 219-226
  • 26
    • 0000672068 scopus 로고
    • Some irreducible representations of Weyl groups
    • [M1] I.G. Macdonald, Some irreducible representations of Weyl groups. Bull. London Math. Soc. 4 (1972), 148-150
    • (1972) Bull. London Math. Soc. , vol.4 , pp. 148-150
    • Macdonald, I.G.1
  • 29
    • 0001439846 scopus 로고
    • Commuting varieties of semisimple Lie algebras and algebraic groups
    • [R] R.W. Richardson, Commuting varieties of semisimple Lie algebras and algebraic groups. Comp. Math. 38 (1979), 311-327
    • (1979) Comp. Math. , vol.38 , pp. 311-327
    • Richardson, R.W.1
  • 30
    • 0002337753 scopus 로고
    • On the Springer representations of the Weyl groups of classical algebraic groups
    • [Sh] T. Shoji, On the Springer representations of the Weyl groups of classical algebraic groups. Commun. Algebra 7 (1989), 1713-1745, 2027-2033
    • (1989) Commun. Algebra , vol.7 , pp. 1713-1745
    • Shoji, T.1
  • 31
    • 0003299478 scopus 로고
    • Simple singularities and simple algebraic groups
    • Springer, Berlin
    • [Sl] P. Slodowy, Simple singularities and simple algebraic groups. Lecture Notes in Mathematics 815, Springer, Berlin 1980
    • (1980) Lecture Notes in Mathematics , vol.815
    • Slodowy, P.1
  • 32
    • 0003214394 scopus 로고
    • Classes unipotentes et Sous-groupes de Borel
    • Springer, Berlin Heidelberg New York
    • [Spa] N. Spaltenstein, Classes Unipotentes et Sous-groupes de Borel. Lecture Notes in Math. 946, Springer, Berlin Heidelberg New York 1982
    • (1982) Lecture Notes in Math. , vol.946
    • Spaltenstein, N.1
  • 33
    • 0002251871 scopus 로고    scopus 로고
    • [GP] Computer program GAP, available from http://www-gap.dcs.st-andrews.ac.uk/̃gap/
    • Computer Program GAP


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.