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Antonino Giambruno

Professor

Former affiliation
  • 530 Citations
  • 13 h-Index
20042019

Research output per year

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Research Output

  • 530 Citations
  • 13 h-Index
  • 51 Article
  • 5 Other
  • 3 Book
  • 1 Other contribution
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Article
2019
7 Citations (Scopus)
2018

Cocharacters of group graded algebras and multiplicities bounded by one

Giambruno, A., Valenti, A. & Polcino Milies, 2018, In : LINEAR & MULTILINEAR ALGEBRA. 66, p. 1709-1715 7 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2017

Polynomial codimension growth and the Specht problem

Giambruno, A., Valenti, A., Zaicev, M. & Mishchenko, S., 2017, In : Journal of Algebra. 469, p. 421-436 16 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Polynomial identities with involution, superinvolutions and the Grassmann envelope

Giambruno, A., Karasik, Y. & Aljadeff, E., 2017, In : Proceedings of the American Mathematical Society. 145, p. 1843-1857 15 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Star-polynomial identities: Computing the exponential growth of the codimensions

Valenti, A., Giambruno, A. & Milies, C. P., 2017, In : Journal of Algebra. 469, p. 302-322 21 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2016

Anomalies on codimension growth of algebras

Giambruno, A. & Zaicev, M., 2016, In : Forum Mathematicum. 28, p. 649-656 8 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Degrees of irreducible characters of the symmetric group and exponential growth

Giambruno, A. & Mishchenko, S., 2016, In : Proceedings of the American Mathematical Society. 144, p. 943-953 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Identities of *-superalgebras and almost polynomial growth

Giambruno, A., Dos Santos, R. B. & Vieira, A. C., 2016, In : LINEAR & MULTILINEAR ALGEBRA. 64, p. 484-501 18 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Standard polynomials and matrices with superinvolutions

Giambruno, A., Martino, F., Martino, F. & Ioppolo, A., 2016, In : Linear Algebra and Its Applications. 504, p. 272-291 20 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Varieties of Algebras with Superinvolution of Almost Polynomial Growth

Giambruno, A., La Mattina, D. & Ioppolo, A., 2016, In : Algebras and Representation Theory. 19, p. 599-611 13 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)
2014

Asymptotic growth of codimensions sequences of identities of associative algebras

Giambruno, A., Zaicev, M. & Giambruno, 2014, In : Moscow University Mathematics Bulletin. 69, p. 125-127 3 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Classifying the Minimal Varieties of Polynomial Growth

Giambruno, A., La Mattina, D. & Zaicev, M., 2014, In : CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. 66, no. 3, p. 625-640 16 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
9 Citations (Scopus)

Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra sl2

Giambruno, A. & Souza, M. D. S., 2014, In : Journal of Pure and Applied Algebra. 218, p. 1517-1527 11 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Zariski Closed Algebras in Varieties of Universal Algebra

Giambruno, A., Vishne, U., Belov-Kanel, A., Belov-Kanel, A. & Rowen, L. H., 2014, In : Algebras and Representation Theory. 17, p. 1771-1783 13 p.

Research output: Contribution to journalArticle

2013

Cocharacters of bilinear mappings and graded matrices

Aquè, S. & Giambruno, A., 2013, In : Algebras and Representation Theory. 15, 26 p.

Research output: Contribution to journalArticle

Graded polynomial identities and Specht property of the Lie algebra sl2

Giambruno, A. & Souza, M. D. S., 2013, In : Journal of Algebra. 389, p. 6-22 17 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Group algebras and Lie nilpotence

Giambruno, A., Polcino Milies & Sehgal, S. K., 2013, In : Journal of Algebra. 373, p. 276-283 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Group graded algebras and multiplicities bounded by a constant

Giambruno, A. & Cirrito, A., 2013, In : Journal of Pure and Applied Algebra. 217, p. 259-268 10 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Multialternating graded polynomials and growth of polynomial identities

Giambruno, A. & Aljadeff, E., 2013, In : Proceedings of the American Mathematical Society. 141, p. 3055-3065 11 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)

Non-integrality of the PI-exponent of special Lie algebras

Giambruno, A. & Zaicev, M., 2013, In : Advances in Applied Mathematics. 51, p. 619-634 16 p.

Research output: Contribution to journalArticle

2012

On codimension growth of finite-dimensional Lie superalgebras

Giambruno, A. & Zaicev, M., 2012, In : Journal of the London Mathematical Society. 85, p. 534-548 15 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Some numerical invariants of multilinear identities

Giambruno, A., 2012, In : SERDICA MATHEMATICAL JOURNAL. 38, p. 371-394 24 p.

Research output: Contribution to journalArticle

2011

Finite dimensional nonassociative algebras and codimension growth

Giambruno, A., Zaicev, M. & Shestakov, I., 2011, In : Advances in Applied Mathematics. 47, p. 125-139 15 p.

Research output: Contribution to journalArticle

26 Citations (Scopus)

Graded polynomial identities and exponential growth

La Mattina, D., Giambruno, A. & Aljadeff, E., 2011, In : JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. 650, p. 83-100 18 p.

Research output: Contribution to journalArticle

40 Citations (Scopus)

Standard polynomials are characterized by their degree and exponent

Giambruno, A. & Regev, A., 2011, In : Journal of Algebra. 335, p. 74-82 9 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2010

Central units, class sums and characters of the symmetric group

Giambruno, A. & Leal, 2010, In : Communications in Algebra. 2010, 7 p.

Research output: Contribution to journalArticle

Codimension growth of special simple Jordan algebras

Giambruno, A. & Zaicev, M., 2010, In : Transactions of the American Mathematical Society. 362, p. 3107-3123 17 p.

Research output: Contribution to journalArticle

24 Citations (Scopus)

Graded polynomial identities and codimensions: computing the exponential growth

Giambruno, A. & La Mattina, D., 2010, In : Advances in Mathematics. 225, p. 859-881 23 p.

Research output: Contribution to journalArticle

39 Citations (Scopus)

Group algebras of torsion groups and Lie nilpotence

Giambruno, A., Milies, C. P. & Sehgal, S. K., 2010, In : Journal of Group Theory. 13, p. 221-231 11 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Polynomial growth of the codimensions: a characterization

Giambruno, A. & Mishchenko, S., 2010, In : Proceedings of the American Mathematical Society. 138, p. 853-859 7 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Star-group identities and groups of units

Giambruno, A., Milies, C. P. & Sehgal, S. K., 2010, In : Archiv der Mathematik. 95, p. 501-508 8 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2009

Group identities on symmetric units

Giambruno, A., Polcino Milies & Sehgal, S. K., 2009, In : Journal of Algebra. 322, p. 2801-2815 15 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Lie properties of symmetric elements in group rings

Giambruno, A., Polcino Milies & Sehgal, S. K., 2009, In : Journal of Algebra. 321, p. 890-902 13 p.

Research output: Contribution to journalArticle

24 Citations (Scopus)

Polynomial Identities of Algebras of Small Dimension

Giambruno, A., Zaicev, M. & Mishchenko, S., 2009, In : Communications in Algebra. 37, p. 1934-1948 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Super-cocharacters, star-cocharacters and multiplicities bounded by one

Giambruno, A. & Mishchenko, S., 2009, In : Manuscripta Mathematica. 128, p. 483-504 22 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2008

Codimensions of algebras and growth functions

Giambruno, A., Zaicev, M., Giambruno & Mishchenko, S., 2008, In : Advances in Mathematics. 217, p. 1027-1052

Research output: Contribution to journalArticle

50 Citations (Scopus)

Group gradings on associative algebras with involution

Giambruno, A. & Bahturin, 2008, In : Canadian Mathematical Bulletin. 51, p. 182-194 13 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Lie, Jordan and proper codimensions of associative algebras

Giambruno, A. & Zaicev, M., 2008, In : Rendiconti del Circolo Matematico di Palermo. 57, p. 161-171 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Proper identities, Lie identities and exponential codimension growth

Giambruno, A. & Zaicev, M., 2008, In : Journal of Algebra. 320, p. 1933-1962 29 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2007

Codimension growth of two-dimensional algebras

Giambruno, A., Zaicev, M., Giambruno & Mishchenko, S., 2007, In : Proceedings of the American Mathematical Society. 135, p. 3405-3415 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Codimension growth of two-dimensional non-associative algebras

Giambruno A; Mishchenko S; Zaicev M, 2007, In : Proceedings of the American Mathematical Society. 135, p. 3405-3415 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Matrix algebras of polynomial codimension growth

Giambruno, A., La Mattina, D. & Petrogradsky, 2007, In : Israel Journal of Mathematics. 158, p. 367-378 12 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Multialternating Jordan polynomials and codimension growth of matrix algebras

Giambruno, A. & Zaicev, M., 2007, In : Linear Algebra and Its Applications. 422, p. 372-379 8 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2006

Algebras with intermediate growth of the codimensions

Giambruno, A., Zaicev, M. & Mishchenko, S., 2006, In : Advances in Applied Mathematics. 37, p. 360-377 18 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)

On the growth of the identities of algebras

Giambruno, A., 2006, In : Algebra and Discrete Mathematics. 2, p. 50-61 12 p.

Research output: Contribution to journalArticle

Poisson identities of enveloping algebras

Giambruno, A. & Petrogradsky, 2006, In : Archiv der Mathematik. 87, p. 505-515

Research output: Contribution to journalArticle

2 Citations (Scopus)

Polynomial identities on superalgebras: classifying linear growth

Giambruno, A., Misso, P., La Mattina, D., La Mattina, D., Misso & Giambruno, 2006, In : Journal of Pure and Applied Algebra. 207, p. 215-240 26 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2005

Free groups and involutions in the unit group of a group algebra

Giambruno, A. & Milies, C. P., 2005, In : Archiv der Mathematik. 84, p. 205-210 6 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

PI-Algebras with slow codimension growth

La Mattina, D., Giambruno, A., La Mattina, D. & Giambruno, 2005, In : Journal of Algebra. 284, p. 371-391. 21 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)