Group actions and asymptotic behavior of graded polynomial identities

Journal of the London Mathematical Society

Volumn 66, Issue 2, 2002, Pages 295-312

  Giambruno, A ^a   Mishchenko, S ^b   Zaicev, M ^c  

^a UNIVERSITY OF PALERMO   (Italy)

^b ULYANOVSK STATE UNIVERSITY   (Russian Federation)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036807062     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610702003435     Document Type: Article

References (12)

1. Y. Bahturin, A. Giambruno and M. Zaicev, 'G-identities on associative algebras', Proc. Amer. Math. Soc. 127 (1999) 63-69.
2. A. Giambruno and A. Regev, 'Wreath products and P.I. algebras', J. Pure Appl. Algebra 35 (1985) 133-149.
3. A. Giambruno and M. Zaicev, 'A characterization of algebras with polynomial growth of the codimensions', Proc. Amer. Math. Soc. 129 (2001) 59-67.
4. G. James and A. Kerber, The representation theory of the symmetric group, Encyclopedia of Mathematics and its Applications 16 (Addison Wesley, London, 1981).
5. A. Kemer, 'A remark on the standard identity', Mat. Zametki 23 (1978) 753-757 (Russian), Math. Notes 23 (1978) 414-417 (English).
6. A. Kemer, 'T-ideals with power growth of the codimensions are Specht', Sibirsk. Mat. Zh. 19 (1978) 54-69 (Russian), Siberian Math. J. 19 (1978) 37-48 (English).
7. A. Kemer, Ideals of identities of associative algebras, Translations of Mathematical Monographs 87 (American Mathematical Society, Providence, RI, 1988).
8. S. Montgomery, Fixed rings of finite automorphism groups of associative rings, Lecture Notes in Mathematics 818 (Springer, Berlin, 1980).
9. S. Montgomery, 'Hopf algebras and their actions on rings', CBMS Regional Conference Series in Mathematics 82 (American Mathematical Society, Providence, RI, 1993).
10. A. Regev, 'Existence of identities in A ⊗ B', Israel J. Math. 11 (1972) 131-152.
11. A. Regev, 'The representations of wreath products via double centralizing theorems', J. Algebra 102 (1986) 423-443.
12. W. Specht, 'Eine Varellgemeinerung der symmetrischen Gruppe', Schriftenreihe des Mathematischen Seminar Berlin 1 (1932) 1-32.