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Communications in Algebra Volume 38, 2010 - Issue 8
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Original Articles

On the *-Polynomial Identities of a Class of *-Minimal Algebras

Onofrio M. Di Vincenzo Dipartimento di Matematica, Università degli Studi di Bari, Bari, Italia
&
Vincenzo Nardozza Dipartimento di Matematica, Università degli Studi di Bari, Bari, ItaliaCorrespondence[email protected]
Pages 3078-3093 | Received 14 Jun 2007, Published online: 18 Aug 2010

REFERENCES

  • Bahturin , Yu. A. ( 1987 ). Identical Relations in Lie Algebras . Utrecht : VNU Science Press .
  • Drensky , V. ( 1984 ). Codimensions of T-ideals and Hilbert series of relatively free algebras . J. Algebra 91 : 1 – 17 .
  • Drensky , V. ( 2000 ). Free Algebras and PI-Algebras . Graduate Course in Algebra. Singapore : Springer .
  • Drensky , V. , Giambruno , A. ( 1994 ). Cocharacters, codimensions and Hilbert series of the polynomial identities for 2 × 2 matrices with involution . Canad. J. Math. 46 : 718 – 733 .
  • Di Vincenzo , O. M. , Koshlukov , P. , Valenti , A. ( 2004 ). Gradings on the algebra of upper triangular matrices and their graded identities . J. Algebra 275 : 550 – 566 .
  • Di Vincenzo , O. M. , La Scala , R. ( 2007 ). Minimal algebras with respect to their *-exponent . J. Algebra 317 : 642 – 657 .
  • Fulton , W. ( 1997 ). Young Tableaux with Applications to Representation Theory and Geometry . London Math. Soc. Student Texts , Vol. 35 . New York : Cambridge University Press .
  • Giambruno , A. ( 1986 ). GL × GL-representations and *-polynomial identities . Comm. Algebra 14 : 787 – 796 .
  • Giambruno , A. , Regev , A. ( 1985 ). Wreath products and P.I. Algebras . J. Pure Appl. Algebra 35 : 133 – 149 .
  • Giambruno , A. , Zaicev , M. ( 1999 ). Involution codimensions of finite-dimensional algebras and exponential growth . J. Algebra 222 : 471 – 484 .
  • Macdonald , I. G. ( 1995 ). Symmetric Fuctions and Hall Polynomials, , 2nd ed . Oxford : Oxford Univ. Press (Clarendon) .
  • Mishchenko , S. , Valenti , A. ( 2000 ). A star-variety with almost polynomial growth . J. Algebra 223 : 66 – 84 .
  • Nardozza , V. ( 2003 ). Algebras with Involution, Superalgebras and Proper Subvarieties . Polynomial identities and combinatorial methods (Pantelleria, 2001). Lecture Notes in Pure and Appl. Math., Vol. 235. New York: Dekker, pp. 397–408 .
  • Sagan , B. E. ( 2001 ). The Symmetric Group. Representations, Combinatorial Algorithms, and Symmetric Functions, 2nd ed. Graduate Texts in Mathematics, Vol. 203. New York: Springer-Verlag .
  • Volichenko , I. B. ( 1978 ). The T-Ideal Generated by the Element [X 1, X 2, X 3, X 4]. Preprint n. 22, Institute Mat. Akad. Nauk USSR, Minsk (Russian) .
  • Communicated by I. P. Shestakov.

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