|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||The geometry of self-adjunction||Journal:||Publications de l'Institut Mathématique||Volume:||73||Issue:||87||First page:||1||Last page:||29||Issue Date:||2003||Rank:||M24||ISSN:||0350-1302||URL:||http://elib.mi.sanu.ac.rs/files/journals/publ/93/n087p001.pdf||Abstract:||
This paper is a companion to another paper where it is shown that the multiplicative monoids of Temperley-Lieb algebras are isomorphic to monoids of endomorphisms in categories where en endofunctor is adjoint to itself. Such a self-adjunction underlines the orthogonal group case of Baruer's representation of the Baruer centralizer algebras. The present paper provides detailed proofs of results on the presentation of various monoids of diagrams by generators and relations, on which the other paper depends.
|Project:||Representation of Proofs with Applications, Classification of Structures and Infinite Combinatorics|
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