Published 1993
| Version v1
Book
The Hopf algebra of leftinvariant Vector fields on Complex Quantum Groups
Description
We construct the q-analogues of the left invariant vector fields of the quantum enveloping algebras for the complex Lie algebras of type An, Bn, Cn and Dn. These quantum vector fields are functionals over the corresponding complex quantum group A. The equivalence of the Hopf algebra of regular functionals and the algebra of complex quantum vector fields is shown by factorizing the vector fields uniquely into a triangular and unitary part and identifying them with the corresponding elements of the algebra of regular functionals. (Author) 9 refs
Additional details
Publishing Information
- Publisher
- CIEMAT.
- Imprint Place
- Madrid (Spain)
- Imprint Title
- XIX International colloquium of group theoretical methods in Physics
- Imprint Pagination
- 2 v.
- Series
- Anales de Fisica. Monografias.
- Journal Page Range
- p. 95-98.
Conference
- Title
- 19. international colloquium of group theoretical methods in Physics.
- Dates
- 29 Jun - 4 Jul 1992.
- Place
- Salamanca (Spain).
INIS
- Country of Publication
- Spain
- Country of Input or Organization
- Spain
- INIS RN
- 25050469
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRA; GROUP THEORY; HIGH ENERGY PHYSICS; QUANTUM FIELD THEORY; QUANTUM NUMBERS; SYMMETRY GROUPS; VECTOR FIELDS
- Descriptors DEC
- FIELD THEORIES; MATHEMATICS; PHYSICS