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Virtual Algebraic Lie Theory: Tilting Modules and Ringel Duals for Blob Algebras
Author(s) -
Martin P. P.,
RyomHansen S.
Publication year - 2004
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/s0024611504014789
Subject(s) - dual polyhedron , mathematics , representation theory , algebra over a field , pure mathematics , tensor (intrinsic definition) , ring (chemistry) , algebraic structure , space (punctuation) , lie algebra , dual (grammatical number) , representation (politics) , subject (documents) , tensor product , computer science , art , chemistry , literature , organic chemistry , politics , library science , political science , law , operating system
In this paper we describe a tensor space representation of the blob algebra over a ring allowing base change to every interesting (that is, non‐semisimple) specialisation. We show that in quasihereditary specialisations this passes to a full tilting module. We consider the nature of the resultant Ringel dual algebra. 2000 Mathematics Subject Classification 20C08.