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The poincare series of Πm,2

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Ring Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1197))

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References

  1. Akin, Buchsbaum, Weyman Schur functors and Schur complexes.Adv. Math. 44 207–278 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  2. Bass H. Clifford algebras and spinor norms over a commutative ring; Amer. J. Math. (1974).

    Google Scholar 

  3. Björner A. Shellable and Cohen-Macauley partially ordered sets; Trans. A.M.S. 260, (1980), 159–183.

    Article  MATH  Google Scholar 

  4. De Concini C., Eisenbud D. and Procesi C. Young diagrams and determinantal varieties; Invent. Math. 56, (1980), 129–165.

    Article  MathSciNet  MATH  Google Scholar 

  5. Formanek E. Invariants and the ring of generic matrices; J. of Alg. 89, (1984), 178–223.

    Article  MathSciNet  MATH  Google Scholar 

  6. Formanek E. The functional equation for character series associated to n by n matrices.Preprint (1985).

    Google Scholar 

  7. Garsia A. Combinatorial methods in the theory of Cohen-Macauley rings; Adv. in Math. 38, (1980), 229–266.

    Article  MathSciNet  MATH  Google Scholar 

  8. Hochster R. and Roberts Rings of invariants acting on regular rings are Cohen-Macauley; Adv. in Math, 13, (1974), 115–175.

    Article  MathSciNet  MATH  Google Scholar 

  9. Hochster R.

    Google Scholar 

  10. Jozeficek T., Pragacz P. and Weyman J. Resolutions of determinantal varieties, Astérisque 87–88, (1981), 109–190.

    MATH  Google Scholar 

  11. Kempf. The Hochster-Roberts theorem in invariant theory.Pac.J.Math.(1977)

    Google Scholar 

  12. Kutz R. Cohen-Macauley rings and ideal theory in rings of invariants of algebraic groups; Trans. AMS. 197, (1974), 115–129.

    Article  MathSciNet  MATH  Google Scholar 

  13. Le Bruyn L. Trace rings of generic matrices are unique factorization domains, to appear in Glasg. Math. J., january 1986.

    Google Scholar 

  14. Le Bruyn L. Functional equation of Poincaré series of trace rings of generic 2 × 2-matrices; Israel Journal of Math. (1985?)

    Google Scholar 

  15. Le Bruyn L. Trace rings of generic 2 by 2 matrices; Memoires AMS, to appear

    Google Scholar 

  16. Le Bruyn L. and Van den Bergh M. Global dimension of trace rings of generic matrices; to appear.

    Google Scholar 

  17. Stanley R. Combinatorics and commutative algebra; Birkhäuser (1983).

    Google Scholar 

  18. Procesi C. Computing with 2 by 2 matrices; J. of Alg. 87, (1984), 342–359.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. University of Antwerp, U.I.A., Belgium

    Lieven le Bruyn (senior research assistent of the NFWO)

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  1. Lieven le Bruyn
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Freddy M. J. van Oystaeyen

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© 1986 Springer-Verlag

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le Bruyn, L. (1986). The poincare series of Πm,2 . In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076316

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  • DOI: https://doi.org/10.1007/BFb0076316

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16496-8

  • Online ISBN: 978-3-540-39833-2

  • eBook Packages: Springer Book Archive

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