| Title:
|
Itô versus Woronowicz calculus in Itô Hopf algebras (English) |
| Author:
|
Hudson, Robin L. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
54 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
151-159 |
| . |
| Category:
|
math |
| . |
| MSC:
|
16W30 |
| MSC:
|
81S25 |
| idZBL:
|
Zbl 1070.81079 |
| idMR:
|
MR2074212 |
| . |
| Date available:
|
2009-09-25T14:19:24Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130429 |
| . |
| Reference:
|
[1] ENRIQUEZ B.: Quantization of Lie bialgebras and shuffle algebras of Lie algebras.Selecta Math. (N.S.) 7 (2001), 321-407. Zbl 1009.17010, MR 1868300 |
| Reference:
|
[2] ETINGOF P.-KAZHDAN D.: Quantization of Lie bialgebras I.Selecta Math. (N.S.) 2 (1996), 1-41. Zbl 0863.17008, MR 1403351 |
| Reference:
|
[3] ETINGOF P.-SCHIFFMAN O.: Lectures on Quantum Groups.International Press, Cambridge, MA, 1998. Zbl 1105.17300, MR 1698405 |
| Reference:
|
[4] HUDSON R. L.: Calculus in enveloping algebras.J. London Math. Soc. (2) 65 (2001), 361-380. Zbl 1010.17009, MR 1883188 |
| Reference:
|
[5] HUDSON R. L.-PARTHASARATHY K. R.: Quantum Ito's formula and stochastic evolutions.Comm. Math. Phys. 93 (1984), 301-323. Zbl 0546.60058, MR 0745686 |
| Reference:
|
[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 1635169 |
| Reference:
|
[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. |
| Reference:
|
[8] PARTHASARATHY K. R.: An Introduction to Quantum Stochastic Calculus.Monogr. Math. 85, Birkhauser, Basel, 1992. Zbl 0751.60046, MR 1164866 |
| Reference:
|
[9] WORONOWICZ S. L.: Differential calculus on compact matrix pseudogroups.Comm. Math. Phys. 122 (1989), 125-170. Zbl 0751.58042, MR 0994499 |
| . |
