Irreducible representations of finite spin groups

2007/02/21 by G. Lusztig, Lusztig, G. · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0702619

openalex publication_date 2007/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We perform the computations necessary to establish a multiplicity one statement for the irreducible representations of a finite spin group which in turn yields the classification of irreducible representations of finite spin groups. (The multiplicity one statement was previously stated without proof.)

Cited by

• Finite Langlands correspondence

Related

• Projective (or spin) representations of finite groups. II
• Irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3
• Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime
• Spin representations of Weyl groups and the Springer correspondence
• The genuine unitary dual of complex spin groups