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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.
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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) |
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| Authors/Creators: | FitzGerald, DG |
| Keywords: | Representations of inverse semigroups |
| Publisher: | Unspecified |
| Item Statistics: | View statistics for this item |
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