Geodesic
Itô versus Woronowicz calculus in Itô Hopf algebras
Mathematica slovaca, Tome 54 (2004) no. 2, pp. 151-159
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 16W30, 81S25 
@article{MASLO_2004_54_2_a4,
     author = {Hudson, Robin L.},
     title = {It\^o versus {Woronowicz} calculus in {It\^o} {Hopf} algebras},
     journal = {Mathematica slovaca},
     pages = {151--159},
     year = {2004},
     volume = {54},
     number = {2},
     mrnumber = {2074212},
     zbl = {1070.81079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2004_54_2_a4/}
}
TY  - JOUR
AU  - Hudson, Robin L.
TI  - Itô versus Woronowicz calculus in Itô Hopf algebras
JO  - Mathematica slovaca
PY  - 2004
SP  - 151
EP  - 159
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_2004_54_2_a4/
LA  - en
ID  - MASLO_2004_54_2_a4
ER  - 
%0 Journal Article
%A Hudson, Robin L.
%T Itô versus Woronowicz calculus in Itô Hopf algebras
%J Mathematica slovaca
%D 2004
%P 151-159
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_2004_54_2_a4/
%G en
%F MASLO_2004_54_2_a4
Hudson, Robin L. Itô versus Woronowicz calculus in Itô Hopf algebras. Mathematica slovaca, Tome 54 (2004) no. 2, pp. 151-159. http://geodesic.mathdoc.fr/item/MASLO_2004_54_2_a4/

[1] ENRIQUEZ B.: Quantization of Lie bialgebras and shuffle algebras of Lie algebras. Selecta Math. (N.S.) 7 (2001), 321-407. | MR | Zbl

[2] ETINGOF P.-KAZHDAN D.: Quantization of Lie bialgebras I. Selecta Math. (N.S.) 2 (1996), 1-41. | MR | Zbl

[3] ETINGOF P.-SCHIFFMAN O.: Lectures on Quantum Groups. International Press, Cambridge, MA, 1998. | MR | Zbl

[4] HUDSON R. L.: Calculus in enveloping algebras. J. London Math. Soc. (2) 65 (2001), 361-380. | MR | Zbl

[5] HUDSON R. L.-PARTHASARATHY K. R.: Quantum Ito's formula and stochastic evolutions. Comm. Math. Phys. 93 (1984), 301-323. | MR | Zbl

[6] HUDSON R. L.-PULMANNOVÁ S.: Chaotic expansions of elements of the universal enveloping algebra of a Lie algebra associated with a quantum stochastic calculus. Proc. London Math. Soc. (3) 77 (1998), 462-480. | MR

[7] HUDSON R. L.-PULMANNOVÁ S.: Double productintegrals and Enriquex quantisation of Lie bialgebras I: The quasitriangularity relations. J. Math. Phys. (To appear); II: The quantum Yang-Baxter equation. Nottingham Trent Preprint 2003.

[8] PARTHASARATHY K. R.: An Introduction to Quantum Stochastic Calculus. Monogr. Math. 85, Birkhauser, Basel, 1992. | MR | Zbl

[9] WORONOWICZ S. L.: Differential calculus on compact matrix pseudogroups. Comm. Math. Phys. 122 (1989), 125-170. | MR | Zbl