Seminar Algebra and Geometry: Naihuan Jing (North Carolina State Univ. and South China Univ. of Technology)

Irreducible characters of spin wreath products

Exactly 100 years ago Schur constructed irreducible characters of the spin groups of the symmetric group and introduced the famous Schur Q-functions. Using ideas from affine Lie algebras and McKay correspondence, Frenkel, Jing and Wang fixed the irreducible characters for the spin group of the wreath products for the symmetric group without knowing the complete character table. In this work we will generalize Schur's work and completely determine all character values for the spin wreath products in type A case. This is joint work with X. Hu.

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