Prerequisiteprobability theory, calculus,AbstractWith the development of the financial market, traditional financial products can not meet the increasing financial demand, and the derivatives market (such as futures and options) has developed very rapidly in China. Mathematical tools have played a huge role in the design of new financial products and the development of new facilities, and deriv...
Abstract:In the 1970s, Bernstein and Zelevinsky introduced a set of operators that act on the Grothendieck group of the category of admissible representations for $GL_n(Q_p)$. These operators play a crucial role in their classification of irreducible representations of $GL_n$. Later, Zelevinsky's derivatives, also known as Bernstein-Zelevinsky operators, found several important applications in...