Abstract:
The possibility of defining irreducible representations
of symmetric groups by means of finitely many relations is studied.
The existence of finite bases is established for the classes of representations corresponding to two-part partitions and to partitions in the fundamental alcove.
Citation:
V. V. Shchigolev, “The finite basis property for some classes of irreducible representations of symmetric groups”, Sb. Math., 194:3 (2003), 457–468