메뉴 건너뛰기




Volumn 239, Issue 1, 2002, Pages 27-68

Projective representations of symmetric groups via Sergeev duality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036003007     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090100282     Document Type: Article
Times cited : (71)

References (27)
  • 1
    • 84966200861 scopus 로고
    • Partition identities and labels for some modular characters
    • G.E. Andrews, C. Bessenrodt and J. B. Olsson, Partition identities and labels for some modular characters, Trans. Amer. Math. Soc. 344 (1994), 597-615
    • (1994) Trans. Amer. Math. Soc. , vol.344 , pp. 597-615
    • Andrews, G.E.1    Bessenrodt, C.2    Olsson, J.B.3
  • 2
    • 0013262884 scopus 로고
    • Partition identities with an application to group representation theory
    • G. E. Andrews and J. B. Olsson, Partition identities with an application to group representation theory, J. reine angew. Math. 413 (1991 ), 198-212
    • (1991) J. Reine Angew. Math. , vol.413 , pp. 198-212
    • Andrews, G.E.1    Olsson, J.B.2
  • 3
    • 0001537934 scopus 로고
    • Decomposition matrices for spin characters of symmetric groups at characteristic 3
    • C. Bessenrodt, A. O. Morris, and J. B. Olsson, Decomposition matrices for spin characters of symmetric groups at characteristic 3, J. Algebra 164 (1994), 146-172
    • (1994) J. Algebra , vol.164 , pp. 146-172
    • Bessenrodt, C.1    Morris, A.O.2    Olsson, J.B.3
  • 4
    • 0000576605 scopus 로고
    • The extension theory of the symmetric and alternating groups
    • N. Blackburn, The extension theory of the symmetric and alternating groups, Math. Z. 117 (1970), 191-206
    • (1970) Math. Z. , vol.117 , pp. 191-206
    • Blackburn, N.1
  • 9
    • 84963044139 scopus 로고
    • On the representation theory of the symmetric groups
    • J. C. Jantzen and G. M. Seitz, On the representation theory of the symmetric groups, Proc. London Math. Soc. 65 (1992), 475-504
    • (1992) Proc. London Math. Soc. , vol.65 , pp. 475-504
    • Jantzen, J.C.1    Seitz, G.M.2
  • 10
    • 0002164452 scopus 로고
    • Semisimple superalgebras
    • in: Algebra-some current trends (Varna, 1986), Springer, Berlin-New York
    • T. Józefiak, Semisimple superalgebras, in:Algebra-some current trends (Varna, 1986), pp. 96-113, Lecture Notes in Math. 1352, Springer, Berlin-New York, 1988
    • (1988) Lecture Notes in Math. , vol.1352 , pp. 96-113
    • Józefiak, T.1
  • 14
    • 0031558433 scopus 로고    scopus 로고
    • q-deformed Fock spaces and modular representations of spin symmetric groups
    • B. Leclerc and J.-Y. Thibon, q-Deformed Fock spaces and modular representations of spin symmetric groups, J. Phys. A 30 (1997), 6163-6176
    • (1997) J. Phys. A , vol.30 , pp. 6163-6176
    • Leclerc, B.1    Thibon, J.-Y.2
  • 15
    • 84951367352 scopus 로고
    • Introduction to the theory of supermanifolds
    • D.A. Leites, Introduction to the theory of supermanifolds, Russian Math. Surveys 35 (1980), 1-64
    • (1980) Russian Math. Surveys , vol.35 , pp. 1-64
    • Leites, D.A.1
  • 18
    • 0013197385 scopus 로고
    • Polynomial representations of the general linear Lie superalgebra
    • University of London
    • N. J. Muir, Polynomial representations of the general linear Lie superalgebra, Ph.D. thesis, University of London, 1991
    • (1991) Ph.D. Thesis
    • Muir, N.J.1
  • 19
    • 0013197386 scopus 로고
    • Young's orthogonal form of irreducible projective representations of the symmetric group
    • M. Nazarov, Young's orthogonal form of irreducible projective representations of the symmetric group, J. London Math. Soc. 42 (1990), 437-451
    • (1990) J. London Math. Soc. , vol.42 , pp. 437-451
    • Nazarov, M.1
  • 20
    • 0031562872 scopus 로고    scopus 로고
    • Young symmetrizers for projective representations of the symmetric group
    • M. Nazarov, Young symmetrizers for projective representations of the symmetric group, Advances in Math. 127 (1997), 190-257
    • (1997) Advances in Math. , vol.127 , pp. 190-257
    • Nazarov, M.1
  • 21
    • 0041124516 scopus 로고
    • Characters of typical irreducible finite dimemsional q(n)-modules
    • I. Penkov, Characters of typical irreducible finite dimemsional q(n)-modules, Func. Anal. Appl. 20 (1986), 30-37
    • (1986) Func. Anal. Appl. , vol.20 , pp. 30-37
    • Penkov, I.1
  • 22
    • 0000116241 scopus 로고
    • Cohomology of G/P for classical complex Liè supergroups G and characters of some atypical G-modules
    • I. Penkov and V. Serganova, Cohomology of G/P for classical complex Liè supergroups G and characters of some atypical G-modules, Ann. Inst. Fourier 39 (1989), 845-873
    • (1989) Ann. Inst. Fourier , vol.39 , pp. 845-873
    • Penkov, I.1    Serganova, V.2
  • 23
    • 0001389812 scopus 로고    scopus 로고
    • Characters of irreducible G-modules and cohomology of G/P for the Lie supergroup G = Q(N)
    • I. Fenkov and V. Serganova, Characters of irreducible G-modules and cohomology of G/P for the Lie supergroup G = Q(N), J. Math. Sci. 84 (1997), 1382-1412
    • (1997) J. Math. Sci. , vol.84 , pp. 1382-1412
    • Fenkov, I.1    Serganova, V.2
  • 24
    • 84943473850 scopus 로고
    • Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen
    • I. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen, J. Reine Angew. Math. 139 (1911), 155-250
    • (1911) J. Reine Angew. Math. , vol.139 , pp. 155-250
    • Schur, I.1
  • 25
    • 84954069421 scopus 로고
    • Tensor algebra of the identity representation as a module over the Lie superalgebras GL(n, m) and Q(n)
    • A. N. Sergeev, Tensor algebra of the identity representation as a module over the Lie superalgebras GL(n, m) and Q(n), Math. USSR Sbomik 51 (1985), 419-427
    • (1985) Math. USSR Sbomik , vol.51 , pp. 419-427
    • Sergeev, A.N.1
  • 26
    • 85009783328 scopus 로고    scopus 로고
    • The Howe duality and the projective representations of symmetric groups
    • A. N. Sergeev, The Howe duality and the projective representations of symmetric groups, Represent. Theory 3 (1999), 416-434
    • (1999) Represent. Theory , vol.3 , pp. 416-434
    • Sergeev, A.N.1
  • 27
    • 0001872932 scopus 로고
    • Shifted tableaux and the projective representations of symmetric groups
    • J. Stembridge, Shifted tableaux and the projective representations of symmetric groups, Advances in Math. 74 (1989), 87-134
    • (1989) Advances in Math. , vol.74 , pp. 87-134
    • Stembridge, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.