$b$-Functions of regular simple prehomogeneous vector spaces
$b$-Functions of regular simple prehomogeneous vector spaces
A prehomogeneous vector space is called simple if the group under consideration is the product of a simple algebraic group and some multiplicative groups. The explicit forms of the $b$-functions of regular simple prehomogeneous vector spaces have been determined except for two spaces. In this paper, we shall calculate the …