Irreducible projective characters of wreath products
Xiaoli Hu, Naihuan Jing
TL;DR
This paper completely determines the irreducible character values of spin wreath products involving symmetric groups and any finite group, advancing understanding of their representation theory.
Contribution
It provides a complete characterization of irreducible character values for spin wreath products, a new result in the representation theory of these groups.
Findings
Explicit formulas for irreducible character values
Complete classification of spin wreath product characters
Advances in the representation theory of symmetric groups
Abstract
The irreducible character values of the spin wreath products of the symmetric group and an arbitrary finite group are completely determined.
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