Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-19T03:57:12.544Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)