Representation theory of towers of recollement: Theory, notes, and examples
Cox, A., Martin, P., Parker, A. & Xi, C. (2006). Representation theory of towers of recollement: Theory, notes, and examples. Journal of Algebra, 302(1), pp. 340-360. doi: 10.1016/j.jalgebra.2006.01.009
Abstract
We give an axiomatic framework for studying the representation theory of towers of algebras. We introduce a new class of algebras, contour algebras, generalising (and interpolating between) blob algebras and cyclotomic Temperley–Lieb algebras. We demonstrate the utility of our formalism by applying it to this class.
| Publication Type: | Article |
|---|---|
| Publisher Keywords: | BRAUER CENTRALIZER ALGEBRAS, TEMPERLEY-LIEB ALGEBRAS, BLOB ALGEBRA |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
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Official URL: https://doi.org/10.1016/j.jalgebra.2006.01.009
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