Abstract:
We compute necessary conditions on Yetter-Drinfeld modules over the groups SL (2, Fq) and GL (2, Fq) to generate finite dimensional Nichols algebras. This is a first step toward a classification of pointed Hopf algebras with a group of grouplikes isomorphic to one of these groups. © 2007 American Institute of Physics.
Referencias:
- Drinfel'D, V.G., (1987) Proceedings of the International Congress of Mathematicians, , American Mathematical Society, Providence
- Petkova, V., Zuber, J.-B., (2002) MathPhys Odyssey, 2001, 23, pp. 415-435. , Progress in Mathematical Physics, Vol. Birkhäuser, Boston
- Gaberdiel, M.R., (2003) Int. J. Mod. Phys. A, 18, p. 4593
- Brouder, C., arXiv:hep-th/0611153; Andruskiewitsch, N., Schneider, H.-J., (2002) New Directions in Hopf Algebras, 43, pp. 1-68. , Publications of the Research Institute for Mathematical Sciences, Vol. Cambridge University Press, Cambridge
- Heckenberger, I., ArXiv:math.QA/0605795; Graa, M., http://mate.dm.uba.ar/~matiasg/zoo.html; Andruskiewitsch, N., Graa, M., (2003) Adv. Math., 178, p. 177
- Andruskiewitsch, N., Zhang, S., (2007) Proc. Am. Math. Soc., 135, p. 2723
- Andruskiewitsch, N., Fantino, F., (2007) J. Math. Phys., 48, p. 033502
- Andruskiewitsch, N., Fantino, F., arXiv:math.QA/0702559; Heckenberger, I., (2005) Actas of XVI Colloquium Latinoamericano de Lgebra, , Biblioteca de la Revista Matematica Iberoamericana, Madrid
- Fulton, W., Harris, J., (1991) Representation Theory, 129. , Graduate Texts in Mathematics Vol. Springer-Verlag, New York
- Zelevinski, A.V., Narkunskaja, G.S., (1974) Funkc. Anal. Priloz., 8, p. 75
- Andruskiewitsch, N., Graa, M., (1999) Boletin de la Academia Nacional de Ciencias, 63, p. 45
- Graa, M., (2000) New Trends in Hopf Algebra Theory (La Falda, 1999), 267, pp. 111-134. , Contemporary Mathematics Vol. American Mathematical Society, Providence
- Serre, J.P., (1973) A Course in Arithmetic, , Springer-Verlag, New York
- (2006), http://www.gap-system.org
Citas:
---------- APA ----------
Freyre, S., Graña, M. & Vendramin, L.
(2007)
. On Nichols algebras over SL (2,Fq) and GL (2, Fq). Journal of Mathematical Physics, 48(12).
http://dx.doi.org/10.1063/1.2821614---------- CHICAGO ----------
Freyre, S., Graña, M., Vendramin, L.
"On Nichols algebras over SL (2,Fq) and GL (2, Fq)"
. Journal of Mathematical Physics 48, no. 12
(2007).
http://dx.doi.org/10.1063/1.2821614---------- MLA ----------
Freyre, S., Graña, M., Vendramin, L.
"On Nichols algebras over SL (2,Fq) and GL (2, Fq)"
. Journal of Mathematical Physics, vol. 48, no. 12, 2007.
http://dx.doi.org/10.1063/1.2821614---------- VANCOUVER ----------
Freyre, S., Graña, M., Vendramin, L. On Nichols algebras over SL (2,Fq) and GL (2, Fq). J. Math. Phys. 2007;48(12).
http://dx.doi.org/10.1063/1.2821614