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Linear and Multilinear Algebra Volume 38, 1995 - Issue 4
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Original Articles

On induced modules and tableaux for the special orthogonal groups

Mihalis Maliakas Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas, 72701
Pages 283-294 | Received 28 Oct 1993, Published online: 30 May 2007

References

  • Akin , Buchsbaum , D.A. and Weyman , J. 1982 . Schur functors and Schur Complexes . Adv. in Math. , 44 : 207 – 279 .
  • Anderson , H. H. and Jantzen , J.C. 1984 . Cohomology of induced representations for algebraic groups . Math. Ann. , 269 : 487 – 525 .
  • Barele , A. 1986 . Constructio of Sp-modules by tableaux . Linear and Multiliear Algebra , 19 : 299 – 307 .
  • DeConcini , C. 1979 . Symplectic standard tableaux . Adv.in Math. , 34 : 1 – 27 .
  • Donkin , S. 1991 . Representaions of symplectic groups and the symplectic tableaux of R.C.King . Linear and Multilinear Algebra , 29 : 113 – 124 .
  • Green , J.A. 1980 . “ Polynomial representations of GLn ” . In Lecture Notes in Math , Vol. 830 , Springer Verlag .
  • Iano-Fletcher , M. 1990 . Polynomial Representations of Symplectic Groups , University of Warwick . Ph.D. dissertation
  • Jantzen , J.C. 1987 . Representations of Algebraic Groups , Academic Press .
  • El-Sharkaway , N.G.I. 1983 . Standard young tableaux and weight multiplicities of the classical Lie groups . J. Phys. A.Mathematical and General , 16 : 3153 – 3177 .
  • King , R.C. and Welsh , T.A. 1993 . Construction of orthogonal group modules using tableaux . Linear and Multilinear Algebra , 33 : 251 – 283 .
  • Lakshmibai , V. and Seshadri , C.S. 1986 . Geometry of G/P-V . J. Algebra , 100 : 462 – 557 .
  • Lancaster , G. and Towber , J. 1985 . Representations functors and flag algebras for the classical groups II . J. Algebra , 94 : 265 – 316 .
  • Maliakas , M. 1993 . A note on the straightening law for the symplectic group . Linear and Multiliear Algebra , 33 : 131 – 136 .
  • Maliakas , M. 1994 . The universal form of the branching rule for the symplectic group . J. Algebra , 168 : 221 – 248 .
  • Maliakas , M. 1994 . On polynomial representations and filtrations for the special orthogonal groups . J. Algebra , 168 : 143 – 171 .
  • Proctor , R. A. 1994 . Young tableaux, Gelfand patterns, and branching rules for classical groups . J. Algebra , 161 : 299 – 360 .
  • Weyl , H. 1946 . “ The Classical Groups ” . In Their Invariants and Representations , Princeton, New Jersey : Princeton University Press . 2nd ed.

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