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Plactic algebra of rank 3

✍ Scribed by Łukasz Kubat; Jan Okniński


Book ID
113023800
Publisher
Springer
Year
2011
Tongue
English
Weight
755 KB
Volume
84
Category
Article
ISSN
0037-1912

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We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is nilpotent. Finally we prove that every irreducible module has dimension one over