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Induced representations of lie algebras

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Part of the Lecture Notes in Mathematics book series (LNM,volume 697)

Keywords

  • Finite Group
  • Polynomial Algebra
  • Forgetful Functor
  • Induce Module
  • Quotient Module

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References

  1. J.A. Green, "Axiomatic representation theory for finite groups", J. Pure Appl. Algebra 1 (1971), 47–77.

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  2. James E. Humphreys, Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, 9. Springer-Verlag, New York, Heidelberg, Berlin, 1972).

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  3. Paul C. Kainen, "Weak adjoint functors", Math. Z. 122 (1971), 1–9.

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  4. Saunders Mac Lane, Categories for the Working Mathematician (Graduate Texts in Mathematics, 5. Springer-Verlag, New York, Heidelberg, Berlin, 1971).

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  5. Barry Mitchell, Theory of Categories (Pure and Applied Mathematics, 17. Academic Press, New York, London, 1965).

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  6. David Trushin, "A theorem on induced corepresentations and applications to finite group theory," J. Algebra 42 (1976), 173–183.

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  7. Nolan R. Wallach, "Induced representations of Lie algebras and a theorem of Borel-Weil", Trans. Amer. Math. Soc. 136 (1969), 181–187.

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  8. Nolan R. Wallach, "Induced representations of Lie algebras. II", Proc. Amer. Math. Soc. 21 (1969), 161–166.

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  9. William H. Wilson, "On induced representations of Lie algebras, groups, and coalgebras", submitted.

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  10. William H. Wilson, "A functorial version of a construction of Hochschild and Mostow for representations of Lie algebras", Bull. Austral. Math. Soc. 18 (1978), 95–98.

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© 1978 Springer-Verlag

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Wilson, W.H. (1978). Induced representations of lie algebras. In: Newman, M.F., Richardson, J.S. (eds) Topics in Algebra. Lecture Notes in Mathematics, vol 697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103130

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  • DOI: https://doi.org/10.1007/BFb0103130

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09103-5

  • Online ISBN: 978-3-540-35549-6

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