메뉴 건너뛰기




Volumn 24, Issue 6, 1996, Pages 2093-2167

Minimal characters of the finite classical groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0010763967     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879608825690     Document Type: Article
Times cited : (147)

References (37)
  • 1
    • 34250133830 scopus 로고
    • On the maximal subgroups of the finite classical groups
    • [Asch 1]
    • [Asch 1] M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984), 469-514.
    • (1984) Invent. Math. , vol.76 , pp. 469-514
    • Aschbacher, M.1
  • 4
    • 84945767115 scopus 로고
    • Centralizers of semisimple elements in the finite classical groups
    • [Car 1]
    • [Car 1] R. W. Carter, Centralizers of semisimple elements in the finite classical groups, Proc. London Math. Soc. 42 (1981), 1-41.
    • (1981) Proc. London Math. Soc. , vol.42 , pp. 1-41
    • Carter, R.W.1
  • 6
    • 51249189687 scopus 로고
    • Hecke algebras and characters of parabolic type of finite groups with BN-pairs
    • [CIK]
    • [CIK] C. W. Curtis, N. Iwahori and R. W. Kilmoyer, Hecke algebras and characters of parabolic type of finite groups with BN-pairs, Publ. Math. IHES 40 (1971), 81-116.
    • (1971) Publ. Math. IHES , vol.40 , pp. 81-116
    • Curtis, C.W.1    Iwahori, N.2    Kilmoyer, R.W.3
  • 7
    • 51249184292 scopus 로고
    • Minimal degree for a permutation representation of a classical group
    • [Coo]
    • [Coo] B. N. Cooperstein, Minimal degree for a permutation representation of a classical group, Israel J. Math. 30 (1978), 213-235.
    • (1978) Israel J. Math. , vol.30 , pp. 213-235
    • Cooperstein, B.N.1
  • 10
    • 84963133573 scopus 로고
    • Irreducible Brauer characters of the 3-dimensional special unitary groups in non-describing charactersitic
    • [Geck]
    • [Geck] M. Geck, Irreducible Brauer characters of the 3-dimensional special unitary groups in non-describing charactersitic, Commun. Algebra 18 (1990), 563-584.
    • (1990) Commun. Algebra , vol.18 , pp. 563-584
    • Geck, M.1
  • 11
    • 0002271723 scopus 로고
    • Weil representations associated to finite fields
    • [Ger]
    • [Ger] P. Gérardin, Weil representations associated to finite fields, J. Algebra 46 (1977), 54-101.
    • (1977) J. Algebra , vol.46 , pp. 54-101
    • Gérardin, P.1
  • 12
    • 0002573494 scopus 로고
    • Character and fixed point ratios in finite classical groups
    • [GlM]
    • [GlM] D. Gluck and K. Magaard, Character and fixed point ratios in finite classical groups, Proc. London Math. Soc. (3) 71 (1995), 547-584.
    • (1995) Proc. London Math. Soc. (3) , vol.71 , pp. 547-584
    • Gluck, D.1    Magaard, K.2
  • 13
    • 38249023861 scopus 로고
    • Even unimodular lattices associated with the Weil representation of the finite symplectic group
    • [Gow 1]
    • [Gow 1] R. Gow, Even unimodular lattices associated with the Weil representation of the finite symplectic group, J. Algebra 122 (1989), 510-519.
    • (1989) J. Algebra , vol.122 , pp. 510-519
    • Gow, R.1
  • 15
    • 84968467458 scopus 로고
    • Group representations and lattices
    • [Gro]
    • [Gro] B. H. Gross, Group representations and lattices, J. Amer. Math. Soc. 3 (1990), 929-960.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 929-960
    • Gross, B.H.1
  • 16
    • 84968494161 scopus 로고
    • On the characters of Weil's representations
    • [Howe]
    • [Howe] R. E. Howe, On the characters of Weil's representations, Trans. Amer. Math. Soc. 177 (1973), 287-298.
    • (1973) Trans. Amer. Math. Soc. , vol.177 , pp. 287-298
    • Howe, R.E.1
  • 17
    • 0007025649 scopus 로고
    • Permutation representations of the finite classical groups of small degree or rank
    • [Kan]
    • [Kan] W. M. Kantor, Permutation representations of the finite classical groups of small degree or rank, J. Algebra 60 (1979), 158-168.
    • (1979) J. Algebra , vol.60 , pp. 158-168
    • Kantor, W.M.1
  • 18
    • 0000658742 scopus 로고
    • A survey of the maximal subgroups of the finite simple groups
    • [KIL 1]
    • [KIL 1] P. B. Kleidman and M. W. Liebeck, A survey of the maximal subgroups of the finite simple groups, Geometriae Dedicata 25 (1988), 375-389.
    • (1988) Geometriae Dedicata , vol.25 , pp. 375-389
    • Kleidman, P.B.1    Liebeck, M.W.2
  • 19
    • 0003288316 scopus 로고
    • The Subgroup Structure of the Finite Classical Groups
    • [KlL 2] Cambridge University Press
    • [KlL 2] P. B. Kleidman and M. W. Liebeck, 'The Subgroup Structure of the Finite Classical Groups', London Math. Soc. Lecture Note Ser. no. 129, Cambridge University Press, 1990, 303 pp.
    • (1990) London Math. Soc. Lecture Note Ser. No. 129 , vol.129
    • Kleidman, P.B.1    Liebeck, M.W.2
  • 21
    • 0001704592 scopus 로고
    • On the minimal degrees of projective representations of the finite Chevalley groups
    • [LaS]
    • [LaS] V. Landázuri and G. Seitz, On the minimal degrees of projective representations of the finite Chevalley groups, J. Algebra 32 (1974), 418-443.
    • (1974) J. Algebra , vol.32 , pp. 418-443
    • Landázuri, V.1    Seitz, G.2
  • 22
    • 84959807329 scopus 로고
    • On the orders of maximal subgroups of the finite classical groups
    • [Lie]
    • [Lie] M. W. Liebeck, On the orders of maximal subgroups of the finite classical groups, Proc. London Math. Soc. (3) 50 (1985), 426-446.
    • (1985) Proc. London Math. Soc. (3) , vol.50 , pp. 426-446
    • Liebeck, M.W.1
  • 23
    • 0003226743 scopus 로고
    • Characters of Reductive Groups over a Finite Field
    • [Lus 1] Princeton University Press
    • [Lus 1] G. Lusztig, 'Characters of Reductive Groups over a Finite Field', Annals of Math. Studies 107, Princeton University Press, 1984.
    • (1984) Annals of Math. Studies , vol.107
    • Lusztig, G.1
  • 24
    • 0002164063 scopus 로고
    • On the representations of reductive groups with disconnected center
    • [Lus 2]
    • [Lus 2] G. Lusztig, On the representations of reductive groups with disconnected center, Astérisque, 168 (1988), 157-166.
    • (1988) Astérisque , vol.168 , pp. 157-166
    • Lusztig, G.1
  • 25
    • 0002524971 scopus 로고
    • Finite Rational Matrix Groups
    • [NP1]
    • [NP1] G. Nebe and W. Plesken, 'Finite Rational Matrix Groups', Mem. Amer. Math. Soc. 116 (1995), no. 556.
    • (1995) Mem. Amer. Math. Soc. , vol.116 , Issue.5 , pp. 56
    • Nebe, G.1    Plesken, W.2
  • 26
  • 27
    • 0002382636 scopus 로고    scopus 로고
    • Über die Darstellung der symmetrischen und alternierenden Gruppe durch gebrochene lineare Substitutionen
    • [Sch]
    • [Sch] I. Schur, Über die Darstellung der symmetrischen und alternierenden Gruppe durch gebrochene lineare Substitutionen, Gesammelte Abhandlungen, Bd. 1, 346-441.
    • Gesammelte Abhandlungen , vol.1 , pp. 346-441
    • Schur, I.1
  • 28
    • 84959762046 scopus 로고
    • Some representations of classical groups
    • [Sei]
    • [Sei] G. M. Seitz, Some representations of classical groups, J. London Math. Soc. (2) 10 (1975), 115-120.
    • (1975) J. London Math. Soc. (2) , vol.10 , pp. 115-120
    • Seitz, G.M.1
  • 29
    • 0000253177 scopus 로고
    • On the minimal degrees of projective representations of the finite Chevalley groups, II
    • [SeZ]
    • [SeZ] G. M. Seitz and A. E. Zalesskii, On the minimal degrees of projective representations of the finite Chevalley groups, II, J. Algebra 158 (1993), 233-243.
    • (1993) J. Algebra , vol.158 , pp. 233-243
    • Seitz, G.M.1    Zalesskii, A.E.2
  • 30
    • 85033042575 scopus 로고    scopus 로고
    • Globally irreducible representations of finite groups and integral lattices
    • [Tiep 1]
    • [Tiep 1] Pham Huu Tiep, Globally irreducible representations of finite groups and integral lattices, (to appear in Geometriae Dedicata).
    • Geometriae Dedicata
    • Tiep, P.H.1
  • 31
    • 85033045075 scopus 로고    scopus 로고
    • Weil representations as globally irreducible representations
    • [Tiep 2]
    • [Tiep 2] Pham Huu Tiep, Weil representations as globally irreducible representations, (to appear in Math. Nachr.).
    • Math. Nachr.
    • Tiep, P.H.1
  • 32
    • 85033042941 scopus 로고    scopus 로고
    • Some characterizations of the Weil representations of the symplectic and unitary groups
    • [TZa]
    • [TZa] Pham Huu Tiep and A. E. Zalesskii, Some characterizations of the Weil representations of the symplectic and unitary groups, (submitted to J. Algebra).
    • J. Algebra.
    • Tiep, P.H.1    Zalesskii, A.E.2
  • 33
    • 0001125958 scopus 로고
    • Representations of symplectic groups
    • [Ward]
    • [Ward] H. N. Ward, Representations of symplectic groups, J. Algebra 20 (1972), 182-195.
    • (1972) J. Algebra , vol.20 , pp. 182-195
    • Ward, H.N.1
  • 34
    • 34250594733 scopus 로고
    • Sur certains groupes d'opérateurs unitaires
    • [Weil]
    • [Weil] A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), 143-211.
    • (1964) Acta Math. , vol.111 , pp. 143-211
    • Weil, A.1
  • 35
    • 0001520383 scopus 로고
    • Eigenvalues of matrices of complex representations of finite groups of Lie type
    • [Zal 1]
    • [Zal 1] A. E. Zalesskii, Eigenvalues of matrices of complex representations of finite groups of Lie type, in: Lecture Note Math. 1352 (1988), 206-218.
    • (1988) Lecture Note Math. , vol.1352 , pp. 206-218
    • Zalesskii, A.E.1
  • 36
    • 0000230702 scopus 로고
    • k)
    • [Zal 2] Banach Center Publications, Warsaw
    • k), in: Topics in Algebra, Banach Center Publications, vol. 26, pt. 2, Warsaw 1990, pp. 491-500.
    • (1990) Topics in Algebra , vol.26 , Issue.2 PART , pp. 491-500
    • Zalesskii, A.E.1
  • 37
    • 34447613609 scopus 로고
    • Zur Theorie der Potenzreste
    • [Zsi]
    • [Zsi] K. Zsigmondy, Zur Theorie der Potenzreste, Monath. Math. Phys. 3 (1892), 265-284.
    • (1892) Monath. Math. Phys. , vol.3 , pp. 265-284
    • Zsigmondy, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.