Indirect utility from expenditure function I have the expenditure function: $$e(p,u)=\left(p_1^{\rho/{\rho-1}}+p_2^{\rho/{\rho-1}}\right)^{{\rho-1}/\rho}u$$
where $u$ is the utility, $p_1,p_2$ prices and $\rho$ a parameter. How do I derive the indirect utility function?
Mas-Colell, Whinston, Green chapter 3, especially p. 75 explains this. One possible way is $v(p,w)=e(p,v(p,w))$ where $v$ is the indirect utility function, $p$ the price vector and $w$ the wealth.