RICERCA ITALIANA     

Programmi di ricerca simili:

• 1 - Identità polinomiali e metodi combinatori
• 2 - Gruppi, Algebre di Lie, Crittografia
• 3 - Algebre di Operatori e Applicazioni
• 4 - Spazi di Moduli e Teoria di Lie
• 5 - ALGEBRA COMMUTATIVA COMBINATORIA E COMPUTAZIONALE
• 6 - Geometria noncommutativa, gruppi quantici ed applicazioni
• 7 - Teoria dei Modelli, Teoria degli Insiemi e Applicazioni
• 8 - Prospettive in teoria degli anelli, algebre di Hopf e categorie di moduli
• 9 - Metodi di Logica in Algebra, Analisi e Geometria
• 10 - GEOMETRIA DELLE EQUAZIONI DIFFERENZIALI NONLINEARI ALLE DERIVATE PARZIALI E APPLICAZIONI ALLA FISICA TEORICA

Classificazione scientifico-disciplinare

• Area scientifico disciplinare: Scienze matematiche e informatiche
  • ALGEBRA

Classificazione brevettuale

• PHYSICS
  • COMPUTING; CALCULATING; COUNTING (score computers for games A63; combinations of writing applicances with computing devices B43K29/08)
    • COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS [N0004]

Classificazione geografica

• Regione: Sicilia

Bibliografia

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[BaMkPeZa] Y. Bahturin, A. A. Mikhalev, V. Petrogradsky, M. Zaicev, Infinite Dimesional Lie Superalgebras, Walter de Gruyter, Berlin, 1992.
[BbBoSi] M.Barnabei, F.Bonetti, M.Silimbani, Young Tableaux and k-matchings in Finite Posets, International Journal of Pure and Applied Mathematics, 16 (2004), 215-226.
[BbBr] M.Barnabei, A. Brini, The Littlewood-Richardson Rule for co-Schur Modules, Adv. in Math. 67 (1988), 143-173
[Bn] F.Benanti, The cocharacter sequence of the 3x3 matrices, Comm. Algebra 24 (1996), 4263-4279.
[BeRe1] A. Berele, A.Regev, Applications of hook Young diagrams to PI-algebras, J.Algebra 82, no.2 (1983), 559-567.
[BeRe2] A. Berele, A. Regev, Hook Young diagrams, combinatorics and representations of Lie superalgebras, Adv. Math. 64 (1987) 118-175.
[BeRe3] A. Berele, A. Regev, Exponential growth for codimensions of some p.i. algebras. J. Algebra 241 (2001), 118--145.
[BkMa] L. Bokut, P. Malcolmson, Grobner-Shirshov bases for relations of a Lie algebra and its enveloping algebra, Algebras and combinatorics: papers from the international congress ICAC'97, edited by Shum, Kar-Ping et al., Springer, Singapore, (1999), 47-54
[BnGiPi] F. Benanti, A. Giambruno, M. Pipitone, Polynomial identities on superalgebras and exponential growth, J. Algebra 269 (2003), no. 2, 422-438.
[BrHuTe] A. Brini, R.Q. Huang , A. Teolis, The umbral symbolic method for supersymmetric tensors, Adv. in Math. 96 (1992), 123-193.
[BrPaTe] A.Brini, A.Palareti, A.Teolis, Gordan-Capelli series in superalgebras, Proc. Natl. Acad. Sci. USA 85 (1988), 1330-1333.
[BrRgTe1] A. Brini , F. Regonati, A. Teolis, The method of virtual variables and representations of Lie superalgebras, in "Clifford Algebras. Applications to Mathemathics, Physics and engeneering" (R.Ablamowicz,Ed.), 2004, Birkhauser, pp.245-264
[BrRgTe2] A. Brini, F. Regonati, A. Teolis, Combinatorics and representations of general linear Lie superalgebras over letterplace superalgebras, in "Computer Algebra, Clifford Algebra and Applications" (H.LI,P.Olver,G.Sommer Eds.), 2005, Springer, in press.
[BrTe] A. Brini, A. Teolis, Young-Capelli symmetrizers in superalgebras, Proc. Natl. Acad. Sci. USA 86 (1989), 775-778.
[CrCaRm] Carbonara J., Carini L., Remmel J. Trace cocharacters and the Kronecker products of Schur functions, J. Algebra 260 (2003) 631-656.
[DeKm] H. Derksen, G. Kemper, Computational invariant theory, Encyclopaedia of Mathematical Sciences. Invariant Theory and Algebraic Transformation Groups. 130 (1), 2002, Springer
[DiDr] O.M.Di Vincenzo, V.S.Drensky, The basis of the graded polynomial identities for superalgebras of triangular matrices, Comm. Algebra 24 (1996) 727-736.
[DiKoVa] O. M. Di Vincenzo, P. Koshlukov and A. Valenti, Gradings on the algebra of upper triangular matrices and their graded identities, J. Algebra 275 (2004), no. 2, 550-566.
[DiLa] O. M. Di Vincenzo, R. La Scala, Block-triangular matrix algebras and factorable ideals of graded polynomial identities, J. Algebra 279 (2004), no. 1, 260-279.
[DiNa] O. M. Di Vincenzo ,V. Nardozza, $Z_2$-graded cocharacters for superalgebras of triangular matrices, J. Pure Appl. Algebra 194 (2004), no. 1-2, 193-211.
[Dr] V. Drensky, Polynomial identities for 2x2 matrices, Acta Appl. Math. 21, No.1/2, 137-161 (1990).
[DrGe] V. Drensky, G.K. Genov, Multiplicities of Schur functions in invariants of two 3x3 matrices, J. Algebra 264 (2003), 496-519.
[DrGi] V.S.Drensky, A. Giambruno, Cocharacters, codimensions and Hilbert series of the polynomial identities for 2x2 matrices with involution, Canad. J. Math. 46 (1994) 718-733.
[GiLm] A. Giambruno, D. La Mattina,. PI-algebras with slow codimension growth, J. Algebra 284 (2005), no. 1, 371-391.
[GiMi] A. Giambruno, S. Mishchenko, On star-varieties with almost polynomial growth. Algebra Colloq. 8 (2001), 33--42.
[GiMiZa1] A. Giambruno, S. Mishchenko, M. Zaicev, Group actions and asymptotic behavior of graded polynomial identities. J. London Math. Soc. (2) 66 (2002), 295--312.
[GiMiZa2] A. Giambruno, S. Mishchenko, M. Zaicev, Algebras with intermediate growth of the codimensions, Adv. in Applied Math. (to appear).
[GiRe] A. Giambruno, A. Regev, Wreath products and PI-algebras, J. Pure Applied Algebra 35 (1985) 133-149.
[GiReZa] Polynomial Identities and combinatorial methods, Proceedings of the conference held on Pantelleria, 2001. Edited by A. Giambruno, A. Regev, M. Zaicev, Lectures Notes in Pure and Apllied Mathematics 235, Marcel Dekker, 2003.
[GiZa1] A.Giambruno, M.Zaicev, On codimension growth of finitely generated associative algebras, Adv. Math. 140 (1998), 145-155.
[GiZa2] A. Giambruno, M. Zaicev, Exponential codimension growth of PI-algebras: an exact estimate, Adv. Math., 142 (1999), 221-243.
[GiZa3] A. Giambruno, M. Zaicev, Minimal varieties of algebras of exponential growth, Adv. Math. 174 (2003), 310-323.
[GiZa4]A. Giambruno, M. Zaicev, M., Codimension growth and minimal superalgebras, Trans. Amer. Math. Soc. 355 (2003), no. 12, 5091-5117.
[GiZa5] A.Giambruno, M. Zaicev,. Asymptotics for the standard and the Capelli identities, Israel J. Math. 135 (2003), 125-145.
[GrRoSt] F. Grosshans, G.-C. Rota, J. Stein Invariant theory and superalgebras, AMS Reg. Conf. Ser. Math. (1987) 69
[Ke1] A.R. Kemer, Ideals of identities of associative algebras, Transl. Amer. Math. Monogr., vol. 87, Amer. Math. Soc., Providence RI, 1991.
[Ke2] A.R. Kemer, T-ideals with polynomial growth of the codimensions are Specht, Sib. Math. J. 19 (1978), 37-48.
[LaNaSe] R. La Scala, V. Nardozza, D. Senato, Super RSK-Algorithms and super Plactic Monoid, International Journal of Algebra and Computation (to appear)
[Lm] D. La Mattina, On the graded identities and cocharacters of the algebra of $3times 3$ matrices, Linear Algebra Appl. 384 (2004), 55-75.
[Lt] V.N. Latyshev, On the choice of a basis in one T-ideal, Sib. Mat. Zh., 4, no. 5, (1963), 1122-1127
[MiVa] S. Mishchenko, A. Valenti, A star-variety with almost polynomial growth, J. Algebra 223 (2000), 66--84.
[Ol] P.J. Olver, Classical Invariant Theory, London Mathematical Society, Student Texts 44, 1999, Cambridge Univerity Press.
[Pe] V. Petrogradski, Growth of polynilpotent varieties of Lie algebras, and rapidly increasing entire functions, Mat. Sb. 188 (1997),119-138.
[Po] V.L. Popov, Groups, generators, syzygies, and orbits in invariant theory. 1992, American Mathematical Society, Providence, RI
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[Re2] A. Regev, The representation of Sn and explicit identities of PI algebras, J. Algebra 51 (1978), 25-40.
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Parole Chiave

IDENTITÀ POLINOMIALE; CODIMENSIONI; T-IDEALE; COCARATTERI; SUPERALGEBRE; IDENTITÀ GRADUATE; ALGEBRE CON INVOLUZIONE