In this paper, we study affine spheres which are isotropic and we obtain a complete clas- sification. In particular, we show that all such afline spheres are hyperbolic afiine spheres, isometric with SL（3, R）/SO（3...In this paper, we study affine spheres which are isotropic and we obtain a complete clas- sification. In particular, we show that all such afline spheres are hyperbolic afiine spheres, isometric with SL（3, R）/SO（3）, SL（3, C）/SU（3）, SU＊（6）/Sp（3） or E6（-26）/F4.展开更多
In this paper we classify the irreducible integrable modules for the core of the extended affine Lie algebra of type Ad-1 coordinated by Cq with finite-dimensional weight spaces and the center acting trivially, where ...In this paper we classify the irreducible integrable modules for the core of the extended affine Lie algebra of type Ad-1 coordinated by Cq with finite-dimensional weight spaces and the center acting trivially, where Cq is the quantum torus in two variables.展开更多
. In this work, we study the concept of the length function and some of its combinatorial properties for the class of extended affine root systems of type A1. We introduce a notion of root basis for these root systems.... In this work, we study the concept of the length function and some of its combinatorial properties for the class of extended affine root systems of type A1. We introduce a notion of root basis for these root systems, and using a unique expression of the elements of the Weyl group with respect to a set of generators for the Weyl group, we calculate the length function with respect to a very specific root basis.展开更多
基金supported in part by the National Natural Science Foundation of China(Grant No.10471034)Famous Youth Foundation of Henan Province(Grant No.0512000100)the Natural Science Foundation of Educational Committee of Henan Province(Grant No.2000110010).
文摘In this paper, we define a P-twisted affine Lie algebra, and construct its realizations by twisted vertex operators.
基金supported by Ministry of Science, Serbia, project 174012
文摘In this paper, we study affine spheres which are isotropic and we obtain a complete clas- sification. In particular, we show that all such afline spheres are hyperbolic afiine spheres, isometric with SL（3, R）/SO（3）, SL（3, C）/SU（3）, SU＊（6）/Sp（3） or E6（-26）/F4.
基金The third author was partially supported by NSF of China （10931006） and a grant from the PhD Programs Foundation of Ministry of Education of China （20100121110014）. The fourth author was partially supported by NSF of China （11371024）, Natural Science Foundation of Fujian Province （2013J01018） and Fundamental Research Funds for the Central University （2013121001）.
文摘In this paper we classify the irreducible integrable modules for the core of the extended affine Lie algebra of type Ad-1 coordinated by Cq with finite-dimensional weight spaces and the center acting trivially, where Cq is the quantum torus in two variables.
文摘. In this work, we study the concept of the length function and some of its combinatorial properties for the class of extended affine root systems of type A1. We introduce a notion of root basis for these root systems, and using a unique expression of the elements of the Weyl group with respect to a set of generators for the Weyl group, we calculate the length function with respect to a very specific root basis.
