Geodesic
Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
Canadian journal of mathematics, Tome 46 (1994) no. 4, pp. 718-733

Voir la notice de l'article provenant de la source Cambridge University Press

Let M 2(K, *) be the algebra of 2 × 2 matrices with involution over a field K of characteristic 0. We obtain the exact values of the cocharacters, codimensions and Hilbert series of the *-T-ideal of the polynomial identities for M 2(K, *).
DOI : 10.4153/CJM-1994-040-6
Mots-clés : 16R50 
Drensky, Vesselin; Giambruno, Antonio. Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution. Canadian journal of mathematics, Tome 46 (1994) no. 4, pp. 718-733. doi: 10.4153/CJM-1994-040-6
@article{10_4153_CJM_1994_040_6,
     author = {Drensky, Vesselin and Giambruno, Antonio},
     title = {Cocharacters, {Codimensions} and {Hilbert} {Series} of the {Polynomial} {Identities} for 2 {\texttimes} 2 {Matrices} with {Involution}},
     journal = {Canadian journal of mathematics},
     pages = {718--733},
     year = {1994},
     volume = {46},
     number = {4},
     doi = {10.4153/CJM-1994-040-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-040-6/}
}
TY  - JOUR
AU  - Drensky, Vesselin
AU  - Giambruno, Antonio
TI  - Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
JO  - Canadian journal of mathematics
PY  - 1994
SP  - 718
EP  - 733
VL  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-040-6/
DO  - 10.4153/CJM-1994-040-6
ID  - 10_4153_CJM_1994_040_6
ER  - 
%0 Journal Article
%A Drensky, Vesselin
%A Giambruno, Antonio
%T Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
%J Canadian journal of mathematics
%D 1994
%P 718-733
%V 46
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1994-040-6/
%R 10.4153/CJM-1994-040-6
%F 10_4153_CJM_1994_040_6

[1] 1. Drensky, V. S., Explicit codimension formulas of certain T-ideals, Sibirsk. Mat. Zh. (6) 29(1988), 30-36 (Russian); English translation: Siberian Math. J. 29(1988), 897-902. Google Scholar

[2] 2. Drensky, V., Polynomial identities for 2 × 2 matrices, Acta Appl. Math. 21(1990), 137–161. Google Scholar

[3] 3. A. Giambruno, GL × GL-representations and *-polynomial identities, Comm. Algebra 14(1986), 787-796. Google Scholar

[4] 4. Giambruno, A. and Regev, A., Wreath products and P.I. algebras, J. Pure Appl. Algebra 35(1985), 133-149. Google Scholar

[5] 5. Macdonald, I. G., Symmetric Functions and Hall Polynomials, Oxford Univ. Press, Clarendon, Oxford, 1979. Google Scholar

[6] 6. Procesi, C., Computing with 2 × 2 matrices, J. Algebra 87(1984), 342-359. Google Scholar

[7] 7. Specht, W., Gesetze in Ringen. I, Math. Z. 52(1950), 557-589. Google Scholar

[8] 8. Weyl, H., The Classical Groups, Their Invariants and Representations, Princeton Univ. Press, Princeton, N.J., 1946. Google Scholar

Cité par Sources :