Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\).

DOI10.2969/MSJMEMOIRS/029010000zbMath1270.20008OpenAlexW4205720986MaRDI QIDQ1950041

Etsuko Hirai, Akihito Hora, Takeshi Hirai

Publication date: 23 May 2013

Published in: MSJ Memoirs (Search for Journal in Brave)

Full work available at URL: http://projecteuclid.org/euclid.msjm/1413220871

zbMATH Keywords

spin charactersprojective representationscomplex reflection groupsgeneralized symmetric groupsspin irreducible representations

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Collections of articles of miscellaneous specific interest (00B15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Proceedings, conferences, collections, etc. pertaining to group theory (20-06) Projective representations and multipliers (20C25) Representations of infinite symmetric groups (20C32) Other representations of locally compact groups (22D12) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (3)

Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III. ⋮ An overview of the history of projective representations of groups ⋮ Spin representations of twisted central products of double covering finite groups and the case of permutation groups.

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