Young tableaux and P.I. Algebras
Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980, Astérisque no. 87-88  (1981), p. 335-352
@incollection{AST_1981__87-88__335_0,
     author = {Regev, Amitai},
     title = {Young tableaux and P.I. Algebras},
     booktitle = {Tableaux de Young et foncteurs de Schur en alg\`ebre et g\'eom\'etrie - TORUN, Pologne, 1980},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {87-88},
     year = {1981},
     pages = {335-352},
     zbl = {0489.16012},
     mrnumber = {646827},
     language = {en},
     url = {http://www.numdam.org/item/AST_1981__87-88__335_0}
}
Regev, Amitai. Young tableaux and P.I. Algebras, in Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980, Astérisque, no. 87-88 (1981), pp. 335-352. http://www.numdam.org/item/AST_1981__87-88__335_0/

1. S. A. Amitsur. A note on PI rings. Israel J. Math. 10 (1971), 210-211. | Article | MR 321967 | Zbl 0238.16014

2. S. A. Amitsur Identities and linear dependence. Israel J. Math. 22 (1975), 127-137. | Article | MR 387341 | Zbl 0319.16009

3. S. A. Amitsur The Polynomial Identities of Associative Rings. Lectures at L.M.S. Symposium on Rings, Durham, August 1979, preprint.

4. E. Bermann. Tensor products of polynomial identity algebras. Transactions A.M.S. 159 (1971), 259-271. | Article | MR 274515 | Zbl 0212.37805

5. N. Jacobson. Structure of Rings. A.M.S. Colloquium Publication 37, 2nd Edition, 1964. | MR 222106

6. G. James. A note on the T-ideal generated by s 3 x 1 ,x 2 ,x 3 . Israel J. Math. Vol. 29 No. 1 (1978), 105-112. | MR 491663 | Zbl 0375.16016

7. A. R. Kemer. T-ideals with power growth of the codimensions are Specht. (English translation). Siberian J. Math. 19 (1978), 37-47. | Article | MR 466190 | Zbl 0411.16014

8. A. R. Kemer A remark on the standard identity. (Russian). Math. Zametki 23 (1978), No. 5, 753-757. | MR 491807 | Zbl 0436.16013

A. R. Kemer A remark on the standard identity English translation : Math. Notes 23 (1978) No. 5, 414-417. | Zbl 0436.16013

9. D. E. Knuth. The Art of Computer Programming, Vol. 3. Addison-Wesley, 1968. | MR 3077152 | Zbl 0191.17903

10. D. Krakowski and A. Regev. The polynomial identities of the Grassmann algebra. Trans. A.M.S. 181 (1973), 429-437. | MR 325658 | Zbl 0289.16015

11. V. H. Latyshev. On the theorem of Regev about identities in the tensor product of P.I. algebras. (Russian). Uspekhi Mat. Nauk (1972), 213-214. | MR 393114 | Zbl 0254.16013

12. I. G. Macdonald. Some conjectures for root systems and finite reflection groups. Preprint. | MR 674768 | Zbl 0515.17004

13. F. D. Murnaghan. On the representations of the symmetric group. American J. Math. 59 (1937), 437. | Article | JFM 63.0078.03 | MR 1507257 | Zbl 0017.15503

14. J. B. Olsson and A. Regev. Colength sequence of some T-ideals. J. Algebra, 1 (1976), 100-111. | Article | MR 409547 | Zbl 0323.16002

15. A. Regev. Existence of identities in AB. Israel J. Math. 11 (1972), 131-152. | Article | MR 314893 | Zbl 0249.16007

16. A. Regev The representations of S n and explicit identities for P.I. algebras. J. Algebra, Vol. 51, No. 1, (1978), 25-40. | Article | MR 469965 | Zbl 0374.16009

17. A. Regev The T-ideal generated by the standard identity s 3 x 1 ,x 2 ,x 3 . Israel J. Math. 26 (1977), 105-125. | MR 498673 | Zbl 0341.16011

18. A. Regev Algebras satisfying a Capelli identity. Israel J. Math., Vol. 33, No. 2, (1979), 149-154. | Article | MR 571250 | Zbl 0422.16008

19. A. Regev The polynomial identities of matrices in characteristic zero. To appear in Communications in Algebra. | MR 584301 | Zbl 0437.16012

20. A. Regev The Kronecker product of Sn-characters and an AB theorem for Capelli identities. To appear in J. Algebra. | MR 593607 | Zbl 0445.16012

21. A. Regev Asymptotic values for degrees associated with strips of Young diagrams. Preprint. | Article | MR 625890 | Zbl 0509.20009

22. S. Roset. A new proof of the Amitsur-Levitski identity. Israel J. Math. Vol. 23 (1976), 187-188. | Article | MR 401804 | Zbl 0322.15020

23. L. H. Rowen. Polynomial Identities in Ring Theory. Academic Press, 1979. | MR 576061 | Zbl 0461.16001

24. A. Zalesskii. On T-ideals of Free Associative and Lie Algebras. Ring Theory, Proceedings of the 1978 Antwerp Conference, Ed. F. Van Oystaeyen. | Zbl 0426.16017