Koszul property and Poincaré series of matrix bialgebras of type An

Journal of Algebra

Volumn 192, Issue 2, 1997, Pages 734-748

  Hai, Phung Ho ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031570638     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6918     Document Type: Article

References (16)

1. 1. J. Backelin and R. Fröberg, Koszul algebras, Veronese subring and rings with linear resolutions, Rev. Roumaine Math. Pures Appl. 30 (2) (1985), 85-97.
2. 2. P. M. Cohn, "Algebra," Vol. 2, Wiley, New York, 1982.
3. 3. R. Dipper and G. James, Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. 52 (3) (1986), 20-52.
4. 4. R. Dipper and G. James, q-Tensor spaces and q-Weyl modules, Trans. Amer. Math. Soc. 327 (1991), 251-282.
5. 5. J. Du, B. Parshall, and J. Wang, Two-parameter quantum linear groups and the hyperbolic invariance or q-Schur algebras, J. London Math. Soc. 44 (2) (1991), 420-436.
6. 6. L. Faddeev, N. Reshetikhin, and L. Takhtajian, Quantisation of Lie groups and Lie algebras, Algebra i, Analys 1 (1) (1989) (Leningrad Math. J. 193 (1) (1990).
7. 6. L. Faddeev, N. Reshetikhin, and L. Takhtajian, Quantisation of Lie groups and Lie algebras, Algebra i, Andys 1 (1) (1989) (Leningrad Math. J. 193 (1) (1990).
8. 7. D. Gurevich, Hecke symmetry and quantum determinants, Soviet Math. Dokl. 38 (1989), 555-559.
9. 8. C. Löfwall, On the subalgebras generated by one-dimensional elements in the Yoneda Ext-algebras, Lecture Notes in Math., Vol. 1183, pp. 291-338, Springer-Verlag, Berlin/New York, 1986.
10. 9. V. V. Lyubashenko, "Superanalysis and Solutions to the Triangles Equation," Ph.D. dissertation, 1987.
11. 10. Yu. I. Manin, "Quantum Groups and Non-commutative Geometry," GRM, Univ. of Montreal, 1988.
12. 11. E. Mukhin, Yang-Baxter operator and the non-commutative de Rham complex, Russian Math. Surveys 46 (4) (1991), 191-192.
13. 12. H. H. Phung, Poincaré series of quantum matric bialgebras determined by pairs of quantum spaces, Comm. Algebra 23 (1995), 879-890.
14. 13. S. B. Priddy, Koszul resolutions, Trans. Amer. Math. Soc. 152 (1970), 39-60.
15. 14. A. Sudbery, Matrix-element bialgebras determined by quadratic coordinate algebras, J. Algebra 158 (1993), 375-399.
16. 15. M. Takeuchi, Matric bialgebras and quantum groups, Israel J. Math. 72 (1990), 232-251.