Abstract
We show that the algebra U{sub uq} dual to the multiparametric deformation GL{sub uq}(n,C) may be realized a la Sudbery, viz, tangent vectors at the identity. Furthermore, we give the Cartan-Weyl basis of U{sub uq} 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.
Citation Formats
Dobrev, V K, and Parashar, P.
Duality for multiparametric quantum GL(n) and for a Lorentz quantum group.
IAEA: N. p.,
1992.
Web.
Dobrev, V K, & Parashar, P.
Duality for multiparametric quantum GL(n) and for a Lorentz quantum group.
IAEA.
Dobrev, V K, and Parashar, P.
1992.
"Duality for multiparametric quantum GL(n) and for a Lorentz quantum group."
IAEA.
@misc{etde_10119521,
title = {Duality for multiparametric quantum GL(n) and for a Lorentz quantum group}
author = {Dobrev, V K, and Parashar, P}
abstractNote = {We show that the algebra U{sub uq} dual to the multiparametric deformation GL{sub uq}(n,C) may be realized a la Sudbery, viz, tangent vectors at the identity. Furthermore, we give the Cartan-Weyl basis of U{sub uq} 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.}
place = {IAEA}
year = {1992}
month = {Jul}
}
title = {Duality for multiparametric quantum GL(n) and for a Lorentz quantum group}
author = {Dobrev, V K, and Parashar, P}
abstractNote = {We show that the algebra U{sub uq} dual to the multiparametric deformation GL{sub uq}(n,C) may be realized a la Sudbery, viz, tangent vectors at the identity. Furthermore, we give the Cartan-Weyl basis of U{sub uq} 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.}
place = {IAEA}
year = {1992}
month = {Jul}
}