𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Self-adjunctions and matrices

✍ Scribed by Kosta Došen; Zoran Petrić

Book ID
104152675
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
469 KB
Volume
184
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown that the multiplicative monoids of Temperley-Lieb algebras are isomorphic to monoids of endomorphisms in categories where an endofunctor is adjoint to itself. Such a self-adjunction is found in a category whose arrows are matrices, and the functor adjoint to itself is based on the Kronecker product of matrices. This self-adjunction underlies the orthogonal group case of Brauer's representation of the Brauer centralizer algebras.

📜 SIMILAR VOLUMES

Local adjunctions
Local adjunctions
✍ C.Barry Jay 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 678 KB
Constraints, Adjunctions and (Co)algebra
Constraints, Adjunctions and (Co)algebras
✍ Ola Angelsmark 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 486 KB

The connection between constraints and universal algebra has been looked at in, e.g., Jeavons, Cohen and Pearson, 1998, and has given interesting results. Since the connection between universal algebra and category theory is so obvious, we will in this paper investigate if the usage of category theo

Reflective relatives of adjunctions
Reflective relatives of adjunctions
✍ G. Richter 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 470 KB

Every map T --~ UX from a set T to the underlying set UX of a compact Hausdorff space X admits a unique continuous extension/~T --+ X from the t~ech-Stone-compactification fit of T to X. Is it true for an arbitrary space X with this unique extension property to be already compact Hausdorff? No, ther