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Virtual algebraic Lie theory: Tilting modules and Ringel duals for blob algebras

Published online by Cambridge University Press:  05 November 2004

P. P. Martin  and
S. Ryom-Hansen
P. P. Martin
Affiliation:
Mathematics Department, City University, Northampton Square, London EC1V 0HB, United Kingdom. E-mail: [email protected]
S. Ryom-Hansen
Affiliation:
Mathematics Department, City University, Northampton Square, London EC1V 0HB, United Kingdom
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Abstract

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.

Keywords

20C08
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 89 , Issue 3 , November 2004 , pp. 655 - 675
Copyright
2004 London Mathematical Society

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