arXiv subjects

Vladimir Shchigolev

Publications and source records attributed to Vladimir Shchigolev.

20 records · Page 2Linked to original sources

arXiv2004

On extensions and branching rules for modules close to completely splittable

New exact modular branching rules are obtained for modules over the symmetric groups that are close to completely splittable modules. These results are based on some upper bounds for the Ext^1-spaces between simple modules.

math.RT↗

arXiv2003

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

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.

math.RT↗