Abstract:
We compute the multiplicative structure in the Hochschild cohomology ring of a differential operators ring and the cap product of Hochschild cohomology on the Hochschild homology. © 2011 Elsevier Inc.
Referencias:
- Blattner, R.J., Cohen, M., Montgomery, S., Crossed products and inner actions of Hopf algebras (1986) Trans. Amer. Math. Soc., 298, pp. 671-711
- Borho, W., Gabriel, P., Rentschler, R., Primideale in Einhüllenden auflösbarer Lie-Algebren (1973) Lecture Notes in Math., 357. , Springer-Verlag, Berlin, Heidelberg, New York
- Chin, W., Prime ideals in differential operator rings and crossed products of infinite groups (1987) J. Algebra, 106, pp. 78-104
- Doi, Y., Takeuchi, M., Cleft comodule algebras by a bialgebra (1986) Comm. Algebra, 14, pp. 801-817
- Guccione, J.A., Guccione, J.J., Hochschild (co)homology of differential operators rings (2001) J. Algebra, 243, pp. 596-614
- Guccione, J.A., Guccione, J.J., Hochschild (co)homology of a Hopf crossed products (2002) K-theory, 25, pp. 139-169
- McConnell, J.C., Representations of solvable Lie algebras and the Gelfand-Kirillov conjecture (1974) Proc. Lond. Math. Soc., 29, pp. 453-484
- McConnell, J.C., Robson, J.C., (1987) Non-Commutative Noetherian Rings, , Wiley-Interscience, New York
- Montgomery, S., Crossed products of Hopf algebras and enveloping algebras (1988) Perspectives in Ring Theory, pp. 253-268. , Kluwer Academic, Dordrecht
- Sridharan, R., Filtered algebras and representations of Lie algebras (1961) Trans. Amer. Math. Soc., 100, pp. 530-550
Citas:
---------- APA ----------
Carboni, G., Guccione, J.A. & Guccione, J.J.
(2011)
. Cohomology ring of differential operator rings. Journal of Algebra, 339(1), 55-79.
http://dx.doi.org/10.1016/j.jalgebra.2011.05.017---------- CHICAGO ----------
Carboni, G., Guccione, J.A., Guccione, J.J.
"Cohomology ring of differential operator rings"
. Journal of Algebra 339, no. 1
(2011) : 55-79.
http://dx.doi.org/10.1016/j.jalgebra.2011.05.017---------- MLA ----------
Carboni, G., Guccione, J.A., Guccione, J.J.
"Cohomology ring of differential operator rings"
. Journal of Algebra, vol. 339, no. 1, 2011, pp. 55-79.
http://dx.doi.org/10.1016/j.jalgebra.2011.05.017---------- VANCOUVER ----------
Carboni, G., Guccione, J.A., Guccione, J.J. Cohomology ring of differential operator rings. J. Algebra. 2011;339(1):55-79.
http://dx.doi.org/10.1016/j.jalgebra.2011.05.017