Vertex algebra was introduced by Boreherds, and the slightly revised notion "vertex oper ator algebra" was formulated by Frenkel, Lepowsky and Meurman, in order to solve the problem of the moonshine representation of the Monster group - the largest sporadie group. On the one hand, vertex operator algebras ean be viewed as extensions of eertain infinite-dimensional Lie algebras such as affine Lie algebras and the Virasoro algebra. On the other hand, they are natural one-variable generalizations of commutative associative algebras with an identity element. In a certain sense, Lie algebras and...

This book presents various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations.

This book presents various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations.

The transformation of China's economy has involved major changes in the financial sector. This book offers a detailed and authoritative guide to financial reform in China since 1979. Bank loans replaced budgetary grants as the most important source of funds for investment. A two-tier financial structure, consisting of a central bank and a newly created specialised commercial bank, developed. Nonbank financial institutions also mushroomed. The book outlines the process of change, compares these changes to the earlier mono-banking system, and shows the problems which remained - including the...