A Diagrammatic Temperley-Lieb Categorification
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-47, 47 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-11
Country of Publication
Egypt
No. of Pages
47
Main Subjects
Abstract EN
The monoidal category of Soergel bimodules categorifies the Hecke algebra of a finite Weyl group.
In the case of the symmetric group, morphisms in this category can be drawn as graphs in the plane.
We define a quotient category, also given in terms of planar graphs, which categorifies the Temperley-Lieb algebra.
Certain ideals appearing in this quotient are related both to the 1-skeleton of the Coxeter complex and to the topology of 2D cobordisms.
We demonstrate how further subquotients of this category will categorify the irreducible modules of the Temperley-Lieb algebra.
American Psychological Association (APA)
Elias, Ben. 2010. A Diagrammatic Temperley-Lieb Categorification. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-47.
https://search.emarefa.net/detail/BIM-479122
Modern Language Association (MLA)
Elias, Ben. A Diagrammatic Temperley-Lieb Categorification. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-47.
https://search.emarefa.net/detail/BIM-479122
American Medical Association (AMA)
Elias, Ben. A Diagrammatic Temperley-Lieb Categorification. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-47.
https://search.emarefa.net/detail/BIM-479122
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479122
