We determine the periodic cyclic homology of the Iwahori-Hecke algebras Hq, for q ∈ C∗ not a “proper root of unity.” (In this paper, by a proper root of unity we shall mean a root of unity other than 1.) Our method is based on a general result on periodic cyclic homology, which states that a “weakly spectrum preserving” morphism of finite type algebras induces an isomorphism in periodic cyclic ...

By using the theory of deformed quantum mechanics, we study the deformed light beam theoretically. The deformed beam quality factor M2 q is given explicitly under the case of deformed light in coherent state. When the deformation parameter q being a root of unity, the beam quality factor M2 q ≤ 1. PACS number(s): 42.60Jf, 42.65Jx, 03.65.-w Typeset using REVTEX ∗The project supported by the Nati...

Let Uq(g) be the Drinfeld-Jimbo quantum group, which is a deformation of the universal enveloping algebra of a finite dimensional semisimple Lie algebra g. In the generic case, i.e. the parameter q is not a root of unity, several models have been raised to realize it. For example, the Ringel-Hall algebra approach is one successful model among them, see [10, 5, 11]. The case where q is a root of...

There is but one China in the world. Taiwan is a part of China and the Government of the People’s Republic of China is the sole legal government representing the whole of China. This is the basic content of the one-China principle. As one of the world’s few time-honored countries, China has fine traditions and a brilliant civilization that can be traced back to ancient times. Such a civilizatio...