Framed links in thickened torus is studied. We give an expression of torus knot in the Kauffman bracket skein algebra. From this expression and using the theory of Gr？bner bases, we drive the reduced polynomial of a ...Framed links in thickened torus is studied. We give an expression of torus knot in the Kauffman bracket skein algebra. From this expression and using the theory of Gr？bner bases, we drive the reduced polynomial of a framed link, which is an ambient isotopic invariant and can be computed feasibly.展开更多
We use extension theory and algebraic methods to give a complete characterization of extensions of torus algebra by stable Cuntz algebras,and prove certain classification theorems of these extension algebras.
This paper gives some su?cient conditions for the commutativity of quasi-toral restricted Lie algebras and characterizes some properties on semisimple quasi-toral restricted Lie algebras.
基金Supported by Guangdong Province Innovation Talent Project for Youths(Grant No.2015KQNCX107)Guangdong University of Education Special Fund for Doctoral Research(Grant No.2016ARF06)
文摘Framed links in thickened torus is studied. We give an expression of torus knot in the Kauffman bracket skein algebra. From this expression and using the theory of Gr？bner bases, we drive the reduced polynomial of a framed link, which is an ambient isotopic invariant and can be computed feasibly.
文摘We use extension theory and algebraic methods to give a complete characterization of extensions of torus algebra by stable Cuntz algebras,and prove certain classification theorems of these extension algebras.
基金Project supported by the Youth Science Foundation of Northeast Normal University (No.111494027)and the National Natural Science Foundation of China (No.10271076).
文摘This paper gives some su?cient conditions for the commutativity of quasi-toral restricted Lie algebras and characterizes some properties on semisimple quasi-toral restricted Lie algebras.
