Branching rules in the ring of superclass functions of unipotent upper-triangular matrices

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dc.creatorThiem, Nathaniel
dc.date2008-12-11
dc.date.accessioned2026-07-07T12:12:21Z
dc.date.available2026-07-07T12:12:21Z
dc.descriptionIt is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical representation theory of the symmetric group. This paper begins by exploring a connection to the ring of symmetric functions in non-commuting variables that mirrors the symmetric group's relationship with the ring of symmetric functions. It then also investigates some of the representation theoretic structure constants arising from the restriction, tensor products and superinduction of supercharacters in this context.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0812.2268
dc.identifierhttp://arxiv.org/abs/0812.2268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210520
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20C15; 05E05
dc.titleBranching rules in the ring of superclass functions of unipotent upper-triangular matrices
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