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Geometric partition categories
This page has evolved, or devolved, from a single paper draft
(itself a sequel to a paper of Kadar-Martin-Yu on categories sometimes referred to
as KY categories)
to now include scope for multiple strands.
A sort-of overview is contained in the first paper here.
(And here low-height KY categories and algebras are called short Brauer categories.)
-
Z. Kadar, P. Martin.
Geometric partition categories:
On short Brauer algebras and their blob subalgebras
(old version)
- preprint.
-
Z. Kadar, P. Martin.
Geometric partition categories II:
On short Brauer algebras and their representation theory
-
in preparation. (if and when spawned from the above.)
-
Z. Kadar, P. Martin.
Geometric partition categories III:
On construction of KY-type subalgebras of BMW algebras
-
hand-written notes only / in preparation.
There is also the task of construction of a fully `partition' version.
And see also, for example, the work of N. Alraddadi and A. Parker.
(Caveat for all pages: Leeds web server has gone down and some items still need to be transfered over. Fingers crossed.)
P.P.Martin,
14/6/2002