75 citations · 77 across the 7 of their papers we have counts for
8 papers
On primitive axial algebras of Jordan type
Jonathan I. Hall, Yoav Segev, Sergey Shpectorov
In this note we give an overview of our knowledge regarding primitive axial algebras of Jordan type half and connections between -transposition groups and Matsuo algebras. We al…
Modifications on Character Sequences and Construction of Large Even Length Binary Sequences
Tingyao Xiong, Jonathan I. Hall
It has been noticed that all the known binary sequences having the asymptotic merit factor are the modifications to the real primitive characters. In this paper, we give a…
Combinatorial Interpretation of General Eulerian Numbers
Tingyao Xiong, Jonathan I. Hall, Hung-ping Tsao
Since 1950s, mathematicians have successfully interpreted the traditional Eulerian numbers and Eulerian numbers combinatorially. In this paper, the authors give a combinatorial…
Primitive axial algebras of Jordan type
J I Hall, F Rehren, S Shpectorov
An axial algebra over the field is a commutative algebra generated by idempotents whose adjoint action has multiplicity-free minimal polynomial. For semisimple associat…
General Eulerian Numbers and Eulerian Polynomials
Tingyao Xiong, Hung-ping Tsao, Jonathan I. Hall
In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in exte…
On the permutation modules for orthogonal groups acting on nonsingular points of their standard modules
Jonathan I. Hall, Hung Ngoc Nguyen
We describe the structure, including composition factors and submodule lattices, of cross-characteristic permutation modules for the natural actions of the orthogonal groups $O_{m}…