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Regev, Amitai

The representations of \(S_n\) and explicit identities for P. I. algebras. (English) Zbl 0374.16009

J. Algebra 51, 25-40 (1978).
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Cited in 30 Documents

MSC:

16Rxx Rings with polynomial identity
20C20 Modular representations and characters
20C30 Representations of finite symmetric groups
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References:

[1] Amitsur, S. A., A note on P.I. rings, Israel J. Math., 10, 210-211 (1971) · Zbl 0238.16014
[2] Boerner, H., Representations of Groups (1963), North-Holland: North-Holland Amsterdam · Zbl 0112.26301
[3] Brauer, R., On a conjecture by Nakayama, Trans. Roy. Soc. Canada Sect. III (3), 41, 11-19 (1947), (zb1 29, MR10) · Zbl 0029.19904
[4] Hall, M., Combinatorial Theory (1967), Blaisdell: Blaisdell Waltham, Mass · Zbl 0196.02401
[5] Kerber, A., Representations of Permutations Groups I, (Lecture Notes in Mathematics, No. 240 (1971), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0165.34202
[6] Klein, A. A.; Regev, A., The codimensions of a P.I. algebra, Israel J. Math., 12, 421-426 (1972) · Zbl 0263.16011
[7] Latyshev, V. H., On the theorem of Regev about identities in the tensor product of P.I. Algebras (Russian), Uspekhi Mat. Nauk, 213-214 (1972) · Zbl 0254.16013
[8] Olsson, J.; Regev, A., An application of representation theory to P.I. algebras, (Proc. Amer. Math. Soc., 55 (1976)), 253-257 · Zbl 0328.16017
[9] Regev, A., Existence of identities in \(A ⊗ \(B\), Israel J. Math., 11, 131-152 (1972) · Zbl 0249.16007
[10] Robinson, G.de B., On a conjecture of Nakayama, Trans. Roy. Soc. Canada, Sect. III (3), 41, 11-19 (1947), (zb1, 29, MR 10) · Zbl 0029.19904
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