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Volumn 78, Issue 1, 1999, Pages 116-138

Low-dimensional representations of special linear groups in cross characteristics

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EID: 0001292623     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611599001720     Document Type: Article
Times cited : (55)

References (30)
  • 6
    • 0003361647 scopus 로고
    • The blocks of finite general linear and unitary groups
    • P. FONG and B. SRINIVASAN, 'The blocks of finite general linear and unitary groups', Invent. Math. 69 (1982) 109-153.
    • (1982) Invent. Math. , vol.69 , pp. 109-153
    • Fong, P.1    Srinivasan, B.2
  • 7
    • 84963060318 scopus 로고
    • Basic sets of Brauer characters of finite groups of Lie type II
    • M. GECK, 'Basic sets of Brauer characters of finite groups of Lie type II', J. London Math. Soc. (2) 47 (1993) 255-268.
    • (1993) J. London Math. Soc. , vol.47 , Issue.2 , pp. 255-268
    • Geck, M.1
  • 8
    • 0002271723 scopus 로고
    • Weil representations associated to finite fields
    • P. GERARDIN, 'Weil representations associated to finite fields', J. Algebra 46 (1977) 54-101.
    • (1977) J. Algebra , vol.46 , pp. 54-101
    • Gerardin, P.1
  • 9
    • 84967712080 scopus 로고
    • The characters of the finite general linear groups
    • J. A. GREEN, 'The characters of the finite general linear groups', Trans. Amer. Math. Soc. 80 (1955) 402-447.
    • (1955) Trans. Amer. Math. Soc. , vol.80 , pp. 402-447
    • Green, J.A.1
  • 10
    • 0000494142 scopus 로고    scopus 로고
    • Linear groups with orders having certain large prime divisors
    • R. GURALNICK, T. PENTTILA, C. E. PRAEGER and J. SAXL, 'Linear groups with orders having certain large prime divisors', Proc. London Math. Soc. (3) 78 (1999) 167-214.
    • (1999) Proc. London Math. Soc. , vol.78 , Issue.3 , pp. 167-214
    • Guralnick, R.1    Penttila, T.2    Praeger, C.E.3    Saxl, J.4
  • 11
    • 84968494161 scopus 로고
    • On the characters of Weil's representations
    • 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
  • 12
    • 0003251578 scopus 로고
    • The representation theory of the symmetric groups
    • Springer, Berlin
    • G. JAMES, The representation theory of the symmetric groups, Lecture Notes in Mathematics 682 (Springer, Berlin, 1978).
    • (1978) Lecture Notes in Mathematics , vol.682
    • James, G.1
  • 13
    • 0003205014 scopus 로고
    • Representations of general linear groups
    • Cambridge University Press
    • G. JAMES, Representations of general linear groups, London Mathematical Society Lecture Note Series 94 (Cambridge University Press, 1984).
    • (1984) London Mathematical Society Lecture Note Series , vol.94
    • James, G.1
  • 14
    • 84962985445 scopus 로고
    • The irreducible representations of the finite general linear groups
    • G. JAMES, 'The irreducible representations of the finite general linear groups', Proc. London Math. Soc. (3) 52 (1986) 236-268.
    • (1986) Proc. London Math. Soc. , vol.52 , Issue.3 , pp. 236-268
    • James, G.1
  • 15
    • 84960615556 scopus 로고
    • n(q) for n ≤ 10
    • n(q) for n ≤ 10', Proc. London Math. Soc. (3) 60 (1990) 225-265.
    • (1990) Proc. London Math. Soc. , vol.60 , Issue.3 , pp. 225-265
    • James, G.1
  • 16
    • 0000273104 scopus 로고    scopus 로고
    • A q-analogue of the Jantzen-Schaper theorem
    • G. JAMES and A. MATHAS, 'A q-analogue of the Jantzen-Schaper theorem', Proc. London Math. Soc. (3) 74 (1997) 241-274.
    • (1997) Proc. London Math. Soc. , vol.74 , Issue.3 , pp. 241-274
    • James, G.1    Mathas, A.2
  • 20
    • 0001704592 scopus 로고
    • On the minimal degrees of projective representations of the finite Chevalley groups
    • 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
  • 21
    • 0013487663 scopus 로고    scopus 로고
    • Almost irreducible tensor squares
    • to appear
    • G. MALLE, 'Almost irreducible tensor squares', Comm. Algebra to appear.
    • Comm. Algebra
    • Malle, G.1
  • 22
    • 0031206584 scopus 로고    scopus 로고
    • Symplectic groups, symplectic spreads, codes, and unimodular lattices
    • R. SCHARLAU and PHAM HUU TIEP, 'Symplectic groups, symplectic spreads, codes, and unimodular lattices', J. Algebra 194 (1997) 113-156.
    • (1997) J. Algebra , vol.194 , pp. 113-156
    • Scharlau, R.1    Tiep, P.H.2
  • 24
    • 84959762046 scopus 로고
    • Some representations of classical groups
    • G. M. SEITZ, 'Some representations of classical groups', J. London Math. Soc. (2) 10 (1975) 115-120.
    • (1975) J. London Math. Soc. , vol.10 , Issue.2 , pp. 115-120
    • Seitz, G.M.1
  • 25
    • 0000253177 scopus 로고
    • On the minimal degrees of projective representations of the finite Chevalley groups, II
    • 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
  • 26
    • 0030672168 scopus 로고    scopus 로고
    • P-Steinberg characters of the finite simple groups
    • PHAM HUU TIEP, 'p-Steinberg characters of the finite simple groups', J. Algebra 187 (1997) 304-319.
    • (1997) J. Algebra , vol.187 , pp. 304-319
    • Tiep, P.H.1
  • 27
    • 0010763967 scopus 로고    scopus 로고
    • Minimal characters of the finite classical groups
    • PHAM HUU TIEP and A. E. ZALESSKII, 'Minimal characters of the finite classical groups', Comm. Algebra 24 (1996) 2093-2167.
    • (1996) Comm. Algebra , vol.24 , pp. 2093-2167
    • Tiep, P.H.1    Zalesskii, A.E.2
  • 28
    • 0031165068 scopus 로고    scopus 로고
    • Some characterizations of the Weil representations of the symplectic and unitary groups
    • PHAM HUU TIEP and A. E. ZALESSKII, 'Some characterizations of the Weil representations of the symplectic and unitary groups', J. Algebra 192 (1997) 130-165.
    • (1997) J. Algebra , vol.192 , pp. 130-165
    • Tiep, P.H.1    Zalesskii, A.E.2
  • 29
    • 0001125958 scopus 로고
    • Representations of symplectic groups
    • 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
  • 30
    • 34250594733 scopus 로고
    • Sur certains groupes d'opérateurs unitaires
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.