Nathaniel Thiem
University of Colorado Boulder
46 Papers
401 Citations
Nathaniel Thiem is an academic researcher from University of Colorado Boulder. The author has contributed to research in topics: Unipotent & Representation theory. The author has an hindex of 15, co-authored 46 publications. Previous affiliations of Nathaniel Thiem include University of Wisconsin-Madison & Stanford University.
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Papers
Supercharacter formulas for pattern groups
TL;DR: In this article, a character formula for a supercharacter evaluated at a superclass for pattern groups and more generally for algebra groups is given, where the character is a set of characters which are constant on superclasses.
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Supercharacter formulas for pattern groups
TL;DR: In this article, a character formula for a supercharacter evaluated at a superclass for pattern groups and more generally for algebra groups is given, where the character is a set of characters which are constant on superclasses.
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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
TL;DR: 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 symmetric group as discussed by the authors.
41
Superinduction for pattern groups
Eric Marberg,Nathaniel Thiem +1 more
TL;DR: In this article, it was shown that for two natural embeddings of U m in U n, super-induction is induction for U m and U n, and an explicit combinatorial algorithm for computing this induction analogous to the Pieri-formulas for the symmetric group was presented.
38
Restricting supercharacters of the finite group of unipotent uppertriangular matrices
TL;DR: A Pieri-like restriction rule from $U_n$ to $U_{n-1}$ that can be described on set-partitions (analogous to the corresponding symmetric group rule on partitions) is described.