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Rappresentazioni di gruppi simmetrici ed identita' polinomiali

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Si studiano le identità polinomiali di un'algebra (ovvero:T-ideali dell'algebra libera) utilizzando la teoria delle rappresentazioni dei gruppi simmetrici. Si espongono risultati validi su un campo di caratteristica arbitraria.

Summary

The polynomial identities of an algebra (or theT-ideals of the free algebra) can be studied by applying results from the representation theory of the symmetric groups. We give results that hold over a field of arbitrary characteristic.

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Bibliografia

  1. Amitsur S. A. andLevitski J.,Minimal identities for algebras. Proc. Amer. Math. Soc., 1 (1950), 449–463.

    Article  MATH  MathSciNet  Google Scholar 

  2. Amitsur S. A.,Identities and linear dependence, Israel J. Math., 22 (1975), 127–137.

    Article  MATH  MathSciNet  Google Scholar 

  3. Amitsur S. A.,The polynomial identities of associative rings. In “Noetherian Rings and Rings with Polynomial Identities”, pp. 1–38, Proc. of L.M.S., Symposium, Durham, 1979.

  4. Berele A.,Homogeneous polynomial identities. Israel J. Math., 42 (1982), 258–272.

    Article  MATH  MathSciNet  Google Scholar 

  5. Berele A.,Invariants and generic matrices with transposition. (Preprint).

  6. Di Vincenzo O. M. andGiambruno A.,Modular representation theory and PI-algebras. Comm. Algebra (to appear).

  7. Drensky V. S.,Codimensions of T-ideals and Hilbert series of relatively free algebras. C. R. Acad. Bulgare Sci., 34 (1981), 1201–1204.

    MATH  MathSciNet  Google Scholar 

  8. Giambruno A.,GL×GL-representations and *-polynomial identities. Comm. Algebra, 14 (1986), 787–796.

    Article  MATH  MathSciNet  Google Scholar 

  9. Giambruno A. andRegev A.,Wreath products and PI-algebras. J. Pure Appl. Algebra 35 (1985), 133–150.

    Article  MATH  MathSciNet  Google Scholar 

  10. James G. andKerber A.,The Representation Theory of The Symmetric Group. Addison-Wesley, Reading Mass., 1981.

    MATH  Google Scholar 

  11. Razmyslow Y. P.,Finite basing for the identities of a matrix algebra of second order over a field of characteristic zero, Alg. and Logic, 12 (1973), 47–63.

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  13. Regev A.,Algebras satisfying a Capelli identity. Israel J. Math., 33 (1978), 149–154.

    Article  MathSciNet  Google Scholar 

  14. Regev A.,The representation theory of S n and explicit identities for PI-algebras. J. Algebra, 51 (1978), 25–40.

    Article  MATH  MathSciNet  Google Scholar 

  15. Rowen L. H.,Polynomial Identities in Ring Theory, Academic Press, New York-London, 1980.

    MATH  Google Scholar 

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(Conferenza tenuta il 17 marzo 1986)

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Giambruno, A. Rappresentazioni di gruppi simmetrici ed identita' polinomiali. Seminario Mat. e. Fis. di Milano 56, 13–22 (1986). https://doi.org/10.1007/BF02925130

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