Finite basis property for some classes of irreducible representations of the symmetric groups

Mathematics – Representation Theory

Scientific paper

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10 pages, to appear in Matematicheskii Sbornik

Scientific paper

In this paper we study the possibility to define irreducible representations
of the symmetric groups with the help of finitely many relations. The existence
of finite bases is established for the classes of representations corresponding
to two-part partitions and to partitions from the fundamental alcove.

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