Abstract
Let 𝔭 q (1 + 1) be a nonstandard Poincaré Hopf algebra, we characterize all finite dimensional completely E-semisimple modules of 𝔭 q (1 + 1). We also classify all finite dimensional E-semisimple modules of 𝔭 q for a special quotient algebra of 𝔭 q (1 + 1). Moreover, the decomposition of tensor product of two finite dimensional E-semisimple indecomposable modules is obtained.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The first author is supported by NSFC (Grant 10671016) and NSF of Beijing (Grant 1062003), and the second author acknowledges the support of DAAD. This work was done when the first author visited Stuttgart University, Germany. He is very grateful to Prof. Dipper for the hospitality during the stay.
Notes
Communicated by R. Wisbauer.