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Is there a nice theory of representations of inverse semigroups in special inverse algebras? a discussion paper
FitzGerald, DG (2006) Is there a nice theory of representations of inverse semigroups in special inverse algebras? a discussion paper. Discussion Paper. Unspecified. (Unpublished)
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I consider the problem of elaborating an analogue, for the dual symmetric inverse monoid, of the `classical' (Schein) theory of representations in the (primal) symmetric inverse monoid. This requires appropriate analogues of the concepts of 'effective' and 'transitive' partial bijections for block multipermutations. I use examples to show that it is not at first clear what these should be, and argue that an adequate solution of this issue would also be a useful test case in developing theories for representation in partial automorphism monoids of entities such as (perhaps) graphs, modules, etc.
|Item Type:||Report (Discussion Paper)|
|Keywords:||Representations of inverse semigroups|
|Date Deposited:||02 Mar 2007|
|Last Modified:||18 Nov 2014 03:13|
|Item Statistics:||View statistics for this item|
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