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Hecke Algebras of Type B n at Roots of Unity
Author(s) -
Dipper Richard,
James Gordon,
Murphy Eugene
Publication year - 1995
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-70.3.505
Subject(s) - mathematics , simple module , conjecture , zero (linguistics) , type (biology) , simple (philosophy) , pairwise comparison , root of unity , hecke algebra , pure mathematics , field (mathematics) , set (abstract data type) , algebra over a field , biology , philosophy , linguistics , statistics , epistemology , computer science , programming language , ecology , physics , quantum mechanics , quantum
The simple modules for Hecke algebras of type B n were constructed, under certain restrictions on the characteristic of the field, in [7]. Using new ideas, introduced by the third‐named author for Hecke algebras of type A n [13], we now remove these restrictions on the characteristic. We present a collection of modules, of which the non‐zero ones form a complete set of pairwise non‐isomorphic simple modules. In addition, we formulate a conjecture as to which of the modules are non‐zero.