Generic Representation Theory of the Unipotent Upper Triangular Groups
نویسندگان
چکیده
منابع مشابه
Unipotent groups in invariant theory.
The finite generation of the ring of invariants of a special class of unipotent groups is established-namely, unipotent radicals of parabolic subgroups.
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Let Un denote the group of n× n unipotent upper-triangular matrices over a fixed finite field Fq , and let UP denote the pattern subgroup of Un corresponding to the poset P . This work examines the superclasses and supercharacters, as defined by Diaconis and Isaacs, of the family of normal pattern subgroups of Un. After classifying all such subgroups, we describe an indexing set for their super...
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It 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 variab...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2016
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2015.1065838