Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Mandal, Arunava"'
Autor:
Mandal, Arunava, Shah, Riddhi
We define Cartan subgroups in connected locally compact groups, which extends the classical notion of Cartan subgroups in Lie groups. We prove their existence and justify our choice of the definition which differs from the one given by Chevalley on g
Externí odkaz:
http://arxiv.org/abs/2310.15564
Autor:
Bhaumik, Saurav, Mandal, Arunava
Let $U$ be a finite dimentional vector space over $\mathbb R$ or $\mathbb C$, and let $\rho:G\to GL(U)$ be a representation of a connected Lie group $G$. A linear subspace $V\subset U$ is called universal if every orbit of $G$ meets $V$. We study uni
Externí odkaz:
http://arxiv.org/abs/2204.01566
Publikováno v:
In BBA - General Subjects October 2024 1868(10)
Autor:
Mandal, Arunava, Raja, C. R. E.
We consider linear groups and Lie groups over a non-Archimedean local field $\mathbb F$ for which the power map $x\mapsto x^k$ has a dense image or it is surjective. We prove that the group of $\mathbb F$-points of such algebraic groups is a compact
Externí odkaz:
http://arxiv.org/abs/2103.06612
Autor:
Mandal, Arunava, Shah, Riddhi
Publikováno v:
Mathematische Zeitschrift 299 (2021), 1587-1606
We study properties and the structure of Cartan subgroups in a connected Lie group. We obtain a characterisation of Cartan subgroups which generalises W\"ustner's structure theorem for the same. We show that Cartan subgroups are same as those of the
Externí odkaz:
http://arxiv.org/abs/2004.12194
Autor:
Mandal, Arunava
Let $G$ be a complex algebraic group defined over $\mathbb R$, which is not necessarily Zariski connected. In this article, we study the density of the images of the power maps $g\to g^k$, $k\in\mathbb N$, on real points of $G$, i.e., $G(\mathbb R)$
Externí odkaz:
http://arxiv.org/abs/2002.06648
Publikováno v:
In Plant Stress December 2023 10
Autor:
Bhaumik, Saurav, Mandal, Arunava
Let $G$ be a connected Lie group. In this paper, we study the density of the images of individual power maps $P_k:G\to G:g\mapsto g^k$. We give criteria for the density of $P_k(G)$ in terms of regular elements, as well as Cartan subgroups. In fact, w
Externí odkaz:
http://arxiv.org/abs/1701.00331
Publikováno v:
Advances in Agriculture; 10/24/2024, Vol. 2024, p1-15, 15p