Foto del docente

Andrea Brini

Full Professor

Department of Mathematics

Adjunct professor

Department of Statistical Sciences "Paolo Fortunati"

Academic discipline: MAT/02 Algebra

Publications

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Publications prior to 2004


Ante 2004


1) BRINI A (2003). Combinatoria e Topologia. Alcune considerazioni generali.. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A, vol. 6, p. 531-563, ISSN: 0392-4033 


2) BRAVI P., BRINI A. (2001). Remarks on invariant geometric calculus. Cayley-Grassmann algebras and geometric Clifford algebras. In:CRAPO H., SENATO D. Algebraic Combinatorics and Computer Science. A tribute to Gian-Carlo Rota. (pp. 129-150). ISBN: 88-470-0078-5.INVITED PAPER. : Springer-Verlag Italia (ITALY).

3)  BRINI A., REGONATI F., TEOLIS A. (2001). Grassmann geometric calculus, invariant theory and superalgebras. In: CRAPO H., SENATO D. Algebraic Combinatorics and Computer Science. A tribute to Gian-Carlo Rota. (pp. 151-196). ISBN: 88-470-0078-5. Springer-Verlag Italia (ITALY).

4) BRINI A., REGONATI F., TEOLIS A. (1999). Multilinear algebra over supersymmetric rings. ADVANCES IN MATHEMATICS. vol. 145, pp.98-158 ISSN: 0001-8708.

5) BRINI A, TEOLIS A (1996). Grassmann progressive and regressive products and CG-algebras. In: Hermann Guenther Grassmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar. vol. 187, DORDRECHT/BOSTON/LONDON:Kluwer Academic Publishers, ISBN: 0-7923-4261-5

6)  BRINI A., TEOLIS A.G.B. (1995). Capelli's method of variabili ausiliarie, superalgebras and geometric calculus. In: NEIL L. WHITE ED. Invariant methods in discrete and computational geometry. (pp. 59-75). ISBN: 0-7923-3548-1.  Kluwer AcademicPublishers, (UNITED STATES).

 7)  BRINI A., TEOLIS A.G.B. (1993). Capelli's theory, Koszul maps and superalgebras. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. vol. 90, No. 21, pp. 10245-10249 ISSN: 0027-8424.

8) BRINI A., HUANG R.Q., TEOLIS A.G.B. (1992). The umbral symbolic method for supersymmetric tensors. ADVANCES IN MATHEMATICS, vol. 96, pp. 123-193 ISSN: 0001-8708.

9) BRINI A., TEOLIS A. (1991). Remark on the branching theorem and supersymmetric algebras. JOURNAL OF ALGEBRA. vol. 142, pp. 255-271 ISSN: 0021-8693.

10) BRINI A., TEOLIS A.G.B. (1990). Capelli Bitableaux and Z-forms of general Lie superalgebras. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. vol. 87, pp. 56-60 ISSN: 0027-8424.

11)  BRINI A., TEOLIS A.G.B. (1989). Young-Capelli symmetrizers in superalgebras. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. vol. 86, pp. 775-778 ISSN: 0027-8424.

12) BARNABEI M., BRINI A. (1988). The Littlewood-Richardson Rule for co-Schur Modules. ADVANCES IN MATHEMATICS. vol. 67, pp.43-173 ISSN: 0001-8708.

13) BRINI A., PALARETI A., TEOLIS A. (1988). Gordan-Capelli series in superalgebras. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. vol. 85, pp. 1330-1333 ISSN: 0027-8424.

14) BARNABEI M, BRINI A (1987). Symmetrized skew-determinants. COMMUNICATIONS IN ALGEBRA, vol. 15, p. 1455-1468, ISSN: 0092-7872

15) BARNABEI M, BRINI A (1986). An elementary proof of the first fundamental theorem of vector invariant theory. JOURNAL OF ALGEBRA, vol. 102, p. 556-563, ISSN: 0021-8693

16) BARNABEI M., BRINI A., ROTA G.-C. (1986). The Theory of Moebius functions (in russian). USPEKHI MATEMATICHESKIKH NAUK. vol.41, pp. 113-157 ISSN: 0042-1316.

17) BARNABEI M, BRINI A, NICOLETTI G (1986). A general umbral calculus. ADVANCES IN MATHEMATICS, vol. Suppl. Stud. 10, p. 221-244, ISSN: 0001-8708

18) BARNABEI M., BRINI A., ROTA G.-C. (1985). On the exterior calculus of invariant theory. JOURNAL OF ALGEBRA. vol. 96, pp. 120-160

19) BARNABEI M, BRINI A (1985). Dissections of convex sets and homotopy types of posets. ADVANCES IN MATHEMATICS, vol. 58, p. 109-118, ISSN: 0001-8708

20) BRINI A, TERRUSI A (1984). Riduzioni omotopicamente invarianti di insiemi parzialmente ordinati. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, vol. XI, p. 381-393, ISSN: 0391-173X

21) BRINI A (1984). Higher dimensional recursive matrices and diagonal delta sets of series. JOURNAL OF COMBINATORIAL THEORY, vol. 36, p. 315-331, ISSN: 0095-8956

22)  BARNABEI M, BRINI A, NICOLETTI G (1983). A general umbral calculus in infinitely many variables. ADVANCES IN MATHEMATICS, vol. 50, p. 49-93, ISSN: 0001-8708

23)  BARNABEI M., BRINI A., NICOLETTI G. (1982). Recursive matrices and Umbral Calculus. JOURNAL OF ALGEBRA. vol. 75, pp. , 546-573 ISSN: 0021-8693. 

24) BRINI A (1982). Some homological properties of partially ordered sets. ADVANCES IN MATHEMATICS, vol. 43, p. 197-201, ISSN: 0001-8708 

25) BRINI A (1981). Composizioni di immersioni elementari di una matroide. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 18, p. 335-344, ISSN: 0392-4041

26) BARNABEI M, BRINI A, ROTA G-C (1981). Sistemi di coefficienti sezionali II. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol. XXX, p. 161-198, ISSN: 0009-725X  

27) BARNABEI M, BRINI A (1981). Some properties of characteristic polynomials and applications to T-lattices. DISCRETE MATHEMATICS, vol. 31, p. 261-270, ISSN: 0012-365X

28) BARNABEI M, BRINI A, ROTA G-C (1980). Sistemi di coefficienti sezionali I. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol. XXIX, p. 457-484, ISSN: 0009-725X

29) BARNABEI M, BRINI A, ROTA G-C (1980). Section coefficients and section sequences. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI DELLA CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI, vol. LXVIII, p. 261-270, ISSN: 0392-7881 

30) BARNABEI M, BRINI A (1980). Polynomial sequences of integral type. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 78, p. 598-617, ISSN: 0022-247X 

31) BRINI A (1980). A class of rank-invariants for perfect matroid designs. EUROPEAN JOURNAL OF COMBINATORICS, vol. 1, p. 33-38, ISSN: 0195-6698 

32) BARNABEI M, BRINI A (1980). A class of PBIB-designs obtained from projective geometries. DISCRETE MATHEMATICS, vol. 29, p. 13-17, ISSN: 0012-365X

33) BRINI A (1978). Alcune caratterizzzazioni di PM-disegni. ATTI - ACCADEMIA NAZIONALE DI SCIENZE LETTERE ED ARTI. MODENA, vol. XX, p. 5-16, ISSN: 1124-2477