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On the codimensions of matrix algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 1352)

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References

  1. Amitsur, S.A., Regev, A.: PI-algebras and their cocharacters. J. of Algebra, Vol. 78, No. 1, (1982) 248–254.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Beckner, W., Regev, A.: Asymptotics and algebraicity of some generating functions. Advances in Math. Vol. 65 No. 1 (1987), 1–15.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Berele, A.: Cocharacters of Z/2Z graded algebras. Preprint.

    Google Scholar 

  4. Berele, A., Regev, A.: Hook Young diagrams with applications to Combinatorics and to representations of Lie superalgebras. Advances in Math., Vol. 64, No. 2, (1987), 118–175.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Berele, A., Regev, A.: Applications of hook Young diaagrams to P.I. algebras. J. of Algebra, 82(1983) 559–567.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Formanek, E.: Invariants of the ring of generic matrices. J. of Algebra 89(1984), 178–223.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Formanek, E.: A conjecture of Regev on the Capelli polynomial. To appear in J. of Algebra.

    Google Scholar 

  8. Formanek, E.: The invariants of n×n matrices. To appear in the Proceedings of a Conference on Invariant Theory, West Chester University, 1985, Springer Lecture Notes.

    Google Scholar 

  9. Kemer, A.R.: Varieties and Z2 graded algebras. Izv. Akad. Nauk SSSR Ser. Mat. 48(1984), 1042–1059 (Russian). Translation: Math. USSR Izv. 25(1985) 359–374.

    MathSciNet  Google Scholar 

  10. Kostant, B.: A theorem of Frobenius, a theorem of Amitsur-Levitski and cohomology theory. J. of Math. and Mech. 7(1958), 237–264.

    MathSciNet  MATH  Google Scholar 

  11. Procesi, C.: The invariant theory of n×n matrics. Advances in Math. 19(1976), 306–381.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Razmyslov, Yu.P.: Trace identities of full matrix algebras over a field of characteristic zero. Izv. Akad. Nauk SSSR Ser. Mat. 38(1974), 723–756 (Russian). Translation: Math. USSR Izv. 8(1974), 727–760.

    MathSciNet  Google Scholar 

  13. Regev, A.: Existence of identities in A⊗B. Israel J. of Math. 11(1972), 131–152.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Regev, A.: The representation of Sn and explicit identities for P.I. algebras. J. of Algebra 51(1978), 25–40.

    CrossRef  MathSciNet  Google Scholar 

  15. Regev, A.: Algebras satisfying a Capelli identity. Israel J. of Math. 33(1979), 149–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Regev, A.: The Kronecker product of Sn-characters and an A⊗B theorem for Capelli identities. J. of Algebra 66(1980), 505–510.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Regev, A.: Asymptotic values for degrees associated with strips of Young diagrams. Advances in Math. 41(1981), 115–136.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. Regev, A.: Codimensions and trace-codimensions are asymptotically equal. Israel J. of Math. 47(1984), 246–250.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. Regev, A.: A combinatorial proof of a character formula of Procesi. J. "Linear and Multilinear Algebra". Vol. 21, No. 1, (1987), 29–39.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. Regev, A.: On the identities of subalgebras of matrices over the Grassmann algebra. To appear in Israel J. of Math.

    Google Scholar 

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© 1988 Springer-Verlag

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Regev, A. (1988). On the codimensions of matrix algebras. In: Avramov, L.L., Tchakerian, K.B. (eds) Algebra Some Current Trends. Lecture Notes in Mathematics, vol 1352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082024

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  • DOI: https://doi.org/10.1007/BFb0082024

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