Duality for the G_r,s Quantum Group
量子代数
2007-05-23 v2
摘要
The two parameter quantum group G_r,s is generated by five elements, four of which form a Hopf subalgebra isomorphic to GL_q(2), while the fifth generator relates G_r,s to GL_p,q(2). We construct explicitly the dual algebra of G_r,s and show that it is isomorphic to the single parameter deformation of gl(2) + gl(1), with the second parameter appearing in the costructure. We also formulate a differential calculus on G_r,s which provides a realisation of the calculus on GL_p,q(2).
引用
@article{arxiv.math/9901132,
title = {Duality for the G_r,s Quantum Group},
author = {Deepak Parashar and Roger J. McDermott},
journal= {arXiv preprint arXiv:math/9901132},
year = {2007}
}
备注
25 pages LaTeX, Includes the R- matrix approach and related differential calculus