REDUCIBILITY OF THE COHEN-WALES REPRESENTATION OF THE ARTIN GROUP OF TYPE D<subscript>n</subscript>.
In: Journal of Knot Theory & Its Ramifications, Jg. 21 (2012-09-01), Heft 10, S. 1250071-1- (57S.)
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Zugriff:
We construct a linear representation of the CGW algebra of type Dn. This representation has degree n2 - n, the number of positive roots of a root system of type Dn. We show that the representation is generically irreducible, but that when the parameters of the algebra are related in a certain way, it becomes reducible. As a representation of the Artin group of type Dn, this representation is equivalent to the faithful linear representation of Cohen-Wales. We give a reducibility criterion for this representation as well as a conjecture on the semisimplicity of the CGW algebra of type Dn. Our proof is computer-assisted using Mathematica. [ABSTRACT FROM AUTHOR]
| Titel: |
REDUCIBILITY OF THE COHEN-WALES REPRESENTATION OF THE ARTIN GROUP OF TYPE D<subscript>n</subscript>.
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| Autor/in / Beteiligte Person: | LEVAILLANT, CLAIRE |
| Zeitschrift: | Journal of Knot Theory & Its Ramifications, Jg. 21 (2012-09-01), Heft 10, S. 1250071-1- (57S.) |
| Veröffentlichung: | 2012 |
| Medientyp: | academicJournal |
| ISSN: | 0218-2165 (print) |
| DOI: | 10.1142/S021821651250071X |
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