Regev, Amitai The representations of \(S_n\) and explicit identities for P. I. algebras. (English) Zbl 0374.16009 J. Algebra 51, 25-40 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 30 Documents MSC: 16Rxx Rings with polynomial identity 20C20 Modular representations and characters 20C30 Representations of finite symmetric groups × Cite Format Result Cite Review PDF Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.