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Is there a nice theory of representations of inverse semigroups in special inverse algebras? a discussion paper

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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 (Unpublished)

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Abstract

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
Publisher: Unspecified
Date Deposited: 02 Mar 2007
Last Modified: 18 Nov 2014 03:13
URI: http://eprints.utas.edu.au/id/eprint/699
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