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pro vyhledávání: '"Ward, Harold N."'
Autor:
Ward, Harold N.
This note intertwines the concepts of degeneration and contraction of algebras and quadratic forms defined on a vector space V . The general linear group GL(V ) acts regularly on the spaces of these two objects. The base field is taken to be infinite
Externí odkaz:
http://arxiv.org/abs/2304.08305
Autor:
Ward, Harold N.
We define a normal graph algebra modeled on algebras used in genetics. Although the algebra does not always determine its graph, it often highlights special features. After developing basic properties of the algebra, we examine those of certain minim
Externí odkaz:
http://arxiv.org/abs/2201.00389
Let $\boldsymbol{\Lambda}\,(=\mathbb{F}^{n^{3}})$, where $\mathbb{F}$ is a field with $|\mathbb{F}|>2$, be the space of structure vectors of algebras having the $n$-dimensional $\mathbb{F}$-space $V$ as the underlying vector space. Also let $G=GL(V)$
Externí odkaz:
http://arxiv.org/abs/2008.01206
Autor:
Ward, Harold N.
This note presents a short proof of Euler's 36 officer conjecture. This implies that there is no affine plane of order $6$, but we also give a direct proof.
Externí odkaz:
http://arxiv.org/abs/1907.00861
Autor:
Ward, Harold N.
These notes contain a revisit to the matrix construction of the Weil representation by the author in the Journal of Algebra in 1972.
Externí odkaz:
http://arxiv.org/abs/1705.09138
Publikováno v:
Adv. Group Theory Appl. 3 (2017), 75-96
We investigate the behaviour of the Weil character of the symplectic group on restriction to subgroups arising from commutative nilpotent algebras of class 2. We give explicit descriptions of the decomposition of the Weil character when restricted to
Externí odkaz:
http://arxiv.org/abs/1609.03492
Autor:
Ward, Harold N.
A Metis design is one for which v=r+k+1. This paper deals with Metis designs that are quasi-residual. The parameters of such designs and the corresponding symmetric designs can be expressed by Fibonacci numbers. Although the question of existence see
Externí odkaz:
http://arxiv.org/abs/1012.1550
Autor:
Ward, Harold N.
The two basic equations satisfied by the parameters of a block design define a three-dimensional affine variety $\mathcal{D}$ in $\mathbb{R}^{5}$. A point of $\mathcal{D}$ that is not in some sense trivial lies on four lines lying in $\mathcal{D}$. T
Externí odkaz:
http://arxiv.org/abs/1002.2955
Publikováno v:
Communications in Algebra. 50:4122-4144
Let $\boldsymbol{\Lambda}\,(=\mathbb{F}^{n^{3}})$, where $\mathbb{F}$ is a field with $|\mathbb{F}|>2$, be the space of structure vectors of algebras having the $n$-dimensional $\mathbb{F}$-space $V$ as the underlying vector space. Also let $G=GL(V)$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6993f075f4f81035688ef378f578e43c
https://doi.org/10.1080/00927872.2022.2029874
https://doi.org/10.1080/00927872.2022.2029874
Autor:
McGuire, Gary, Ward, Harold N.
Publikováno v:
In Linear Algebra and Its Applications 2009 430(7):1730-1738