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Does the Automorphism Group Generate the Endomorphism Ring in Rep(S, R)?

✍ Scribed by Lutz Strüngmann


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
134 KB
Volume
231
Category
Article
ISSN
0021-8693

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✦ Synopsis


Let R be a principal ideal domain and let S, F be a finite poset. We consider Ž . the question whether the automorphism group of a representation V g Rep S, R generates the endomorphism ring of V. A complete solution is given if R s k is a Ž . field except in the case of GF 2 . Moreover, some partial results and helpful techniques are obtained for the general case of R being a principal ideal domain, not a field.


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