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Group inversion in certain finite-dimensional algebras generated by two idempotents

✍ Scribed by Böttcher, A.; Spitkovsky, I.M.


Book ID
118459699
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
224 KB
Volume
23
Category
Article
ISSN
0019-3577

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On certain finite-dimensional algebras g
✍ A. Böttcher; I.M. Spitkovsky 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 272 KB

This paper is concerned with algebras generated by two idempotents P and Q satisfying (PQ ) m = (QP) m and (PQ ) m-1 = (QP) m-1 . The main result is the classification of all these algebras, implying that for each m ≥ 2 there exist exactly eight nonisomorphic copies. As an application, it is shown t