Abstract
Let [Formula: see text] be a pair of finite subgroups of [Formula: see text] and [Formula: see text] a finite-dimensional fundamental [Formula: see text]-module. We study Kostant’s generating functions for the decomposition of the [Formula: see text]-module [Formula: see text] restricted to [Formula: see text] in connection with the McKay–Slodowy correspondence. In particular, the classical Kostant formula was generalized to a uniform version of the Poincaré series for the symmetric invariants in which the multiplicities of any individual module in the symmetric algebra are completely determined.
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