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李方, Fang Li, Zhongkui Liu
Acta Mathematica Sinica, English Series 2000, Jan., Vol. 16, No.1, p. 71-78,-0001,():
-1年11月30日
In this paper, a su cient condition is given under which the smash product A#H is a trans nite left free normalizing extension of an algebra A. Moreover, the result is applied to a skew semigroup ring, a skew group ring and the quantum group Uq(sl(2)) such that some properties are shown.
Smash product,, Trans nite left free normalizing extension,, Skew semigroup ring,, Quantum Group
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【期刊论文】Weak Hopf Algebras and Singular Solutions of Quantum Yang-Baxter Equation
李方, Fang Li, , ★, Steven Duplij
Commun. Math. Phys. 225, 191-217 (2002),-0001,():
-1年11月30日
We investigate a generalization of Hopf algebra slq (2) by weakening the invertibility of the generator K, i.e. exchanging its invertibility KK−1=1 to the regularity KKK=K. This leads to a weak Hopf algebra wslq (2) and a J -weak Hopf algebra vslq (2) which are studied in detail. It is shown that the monoids of group-like elements of wslq (2) and vslq (2) are regular monoids, which supports the general conjucture on the connection betweek weak Hopf algebras and regular monoids. Moreover, from wslq (2) a quasi-braided weak Hopf algebra U w q is constructed and it is shown that the corresponding quasi-R-matrix is regular RwRˆwRw =Rw.
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【期刊论文】Elementary operations and Laplace's theorem on quantum matrices
李方, Li Fang
J. Phys. A: Math. Gen. 26 (1993) 49.87-4Z97. Printcd in the UK,-0001,():
-1年11月30日
q-fundamental matrices are introduced and studied. Elementary operations on quantum matrices are discussed. The q-generalization of the classical Laplace's theorem is found, An application of the result is given.
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