Henry Bradford
Henry Bradford
For a finitely generated LEF group Γ , we study the orders of finite groups admitting local embeddings of balls in a word metric on Γ , as measured by the LEF growth function. We prove that any sufficiently smooth increasing funct...
Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux [0.03%]
量子仿射代数对应于2列图标的素模块的分类
Nick Early,Jian-Rong Li
Nick Early
Finite-dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules corresponding to 2-column semistandard Young tableaux, up t...
Gianira N Alfarano,Eimear Byrne
Gianira N Alfarano
In this paper we develop the theory of cyclic flats of q-matroids. We show that the cyclic flats, together with their ranks, uniquely determine a q-matroid and hence derive a new q-cryptomorphism. We introduce the notion of F q m -indepen...
Marian Aprodu,Gavril Farkas,Claudiu Raicu et al.
Marian Aprodu et al.
Each connected graded, graded-commutative algebra A of finite type over a field k of characteristic zero defines a complex of finitely generated, graded modules over a symmetric algebra, whose homology graded modules are called the (higher)...
A new infinite family of star normal quotient graphs of twisted wreath type [0.03%]
一个扭曲滑动型的新无限族星的正规商图
Eda Kaja,Luke Morgan
Eda Kaja
We construct the first infinite families of locally 2-arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes t...
Weighted cylindric partitions [0.03%]
加权圆柱分区
Walter Bridges,Ali K Uncu
Walter Bridges
Recently Corteel and Welsh outlined a technique for finding new sum-product identities by using functional relations between generating functions for cylindric partitions and a theorem of Borodin. Here, we extend this framework to include v...
Agelos Georgakopoulos,Alex Wendland
Agelos Georgakopoulos
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allowing some vertices to obey different relators than others. The resulting notion of presentation allows us to represent every vertex-transitiv...