Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
نویسندگان
چکیده
منابع مشابه
Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
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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Non-additive Lie centralizer of infinite strictly upper triangular matrices
Let $mathcal{F}$ be an field of zero characteristic and $N_{infty}(mathcal{F})$ be the algebra of infinite strictly upper triangular matrices with entries in $mathcal{F}$, and $f:N_{infty}(mathcal{F})rightarrow N_{infty}(mathcal{F})$ be a non-additive Lie centralizer of $N_{infty }(mathcal{F})$; that is, a map satisfying that $f([X,Y])=[f(X),Y]$ for all $X,Yin N_{infty}(mathcal{F})...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2009
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-009-0186-z