Zobrazeno 1 - 10
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pro vyhledávání: '"Martin, Benjamin A."'
Infinite families of 3-dimensional closed graph manifolds and closed Seifert fibered spaces are exhibited, each member of which contains an essential torus not detected by ideal points of the variety of $\text{SL}_2(\mathbb{F})$-characters over any a
Externí odkaz:
http://arxiv.org/abs/2411.15680
Suppose $G$ is a simple algebraic group defined over an algebraically closed field of good characteristic $p$. In 2018 Korhonen showed that if $H$ is a connected reductive subgroup of $G$ which contains a distinguished unipotent element $u$ of $G$ of
Externí odkaz:
http://arxiv.org/abs/2407.16379
Let $H \subseteq G$ be connected reductive linear algebraic groups defined over an algebraically closed field of characteristic $p> 0$. In our first main theorem we show that if a closed subgroup $K$ of $H$ is $H$-completely reducible, then it is als
Externí odkaz:
http://arxiv.org/abs/2401.16927
Audio fingerprinting is a well-established solution for song identification from short recording excerpts. Popular methods rely on the extraction of sparse representations, generally spectral peaks, and have proven to be accurate, fast, and scalable
Externí odkaz:
http://arxiv.org/abs/2310.13388
Publikováno v:
Innov. Incidence Geom. 20 (2023), no. 2--3, 79--134
Given a semisimple linear algebraic $k$-group $G$, one has a spherical building $\Delta_G$, and one can interpret the geometric realisation $\Delta_G(\mathbb R)$ of $\Delta_G$ in terms of cocharacters of $G$. The aim of this paper is to extend this c
Externí odkaz:
http://arxiv.org/abs/2305.11770
Publikováno v:
Eur. J. Math. 9 (2023), no. 4, Paper No. 116, 27 pp
Let $G$ be a connected reductive linear algebraic group over a field $k$. Using ideas from geometric invariant theory, we study the notion of $G$-complete reducibility over $k$ for a Lie subalgebra $\mathfrak h$ of the Lie algebra $\mathfrak g = Lie(
Externí odkaz:
http://arxiv.org/abs/2305.00841
The introduction of the Water Framework directive sets stringent limits on phosphorous discharge from wastewater treatment plants to maintain the complex interdependent relationship between water tributaries and the ecosystem. This paper studies a co
Externí odkaz:
http://arxiv.org/abs/2210.06304
Autor:
Martin, Benjamin
Publikováno v:
Proceedings of the Edinburgh Mathematical Society 67 (2024) 830-837
Let ${\mathscr G}$ be a linear algebraic group over $k$, where $k$ is an algebraically closed field, a pseudo-finite field or the valuation ring of a nonarchimedean local field. Let $G= {\mathscr G}(k)$. We prove that if $\gamma, \delta\in G$ such th
Externí odkaz:
http://arxiv.org/abs/2209.13037
Autor:
Martin, Benjamin
The notion of a \emph{$G$-completely reducible} subgroup is important in the study of algebraic groups and their subgroup structure. It generalizes the usual idea of complete reducibility from representation theory: a subgroup $H$ of a general linear
Externí odkaz:
http://arxiv.org/abs/2207.12169
Publikováno v:
In International Journal of Solids and Structures 1 December 2024 305
