Published July 1992
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Duality for multiparametric quantum GL(n) and for a Lorentz quantum group
Description
We show that the algebra Uuq dual to the multiparametric deformation GLuq(n,C) may be realized a la Sudbery, viz, tangent vectors at the identity. Furthermore, we give the Cartan-Weyl basis of Uuq and show that this is consistent with Sudbery duality. We also give the algebra dual to the matrix Lorentz quantum group of Podles-Woronowicz and Watamura et al. (author). 30 refs
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Additional details
Publishing Information
- Imprint Pagination
- 19 p.
- Report number
- IC--92/189
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 24008181
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; COMMUTATION RELATIONS; GROUP THEORY; LORENTZ GROUPS
- Descriptors DEC
- LIE GROUPS; MATHEMATICS; POINCARE GROUPS; SYMMETRY GROUPS