Results 31 to 40 of about 251,092 (316)

Faithful Uniformly Continuous Representations of Lie Groups [PDF]

Journal of the London Mathematical Society, 1994
Let \(G\) be a connected Lie group. The main result is the equivalence between the following 5 statements: (i) \(G\) is linear, i.e. \(G\) embeds continuously into \(GL_ n(\mathbb{C})\) for \(n\) big enough; (ii) the continuous algebra seminorms separate the points of \({\mathcal E}'(G)\) (the convolution algebra of compactly supported distributions on
Luminet, Denis, Valette, Alain
openaire   +2 more sources

Groups having unique faithful irreducible Q-representation

Ratio Mathematica
In this paper, we give few sufficient conditions for finite p-group to have unique NEW (i.e faithful irreducible) Q-representation. As a consequence of these conditions we will prove that any finite p-group of nilpotency class 2 has atmost one NEW Q ...
Vikas Jadhav
doaj   +1 more source

The mapping class group of a genus two surface is linear

, 2001
In this paper we construct a faithful representation of the mapping class group of the genus two surface into a group of matrices over the complex numbers.
Farkas, Hirsch, Korkmaz, Krammer, Lickorish, Ryan Budney, Stephen Bigelow   +6 more
core   +1 more source

Faithful representations of Leibniz algebras [PDF]

Proceedings of the American Mathematical Society, 2013
Let L L be a Leibniz algebra of dimension n n . We prove the existence of a faithful L L -module of dimension less than or equal to n + 1 n+1 .
openaire   +3 more sources

Grobner Bases for Finite-temperature Quantum Computing and their Complexity

, 2010
Following the recent approach of using order domains to construct Grobner bases from general projective varieties, we examine the parity and time-reversal arguments relating de Witt and Lyman's assertion that all path weights associated with homotopy in ...
Borne T., Fauser B., Goodearl K. R., Helmstetter J., P. R. Crompton, Streater R. F.   +5 more
core   +1 more source

The metaplectic representation is faithful

Journal of Algebra
18 pages, 11 figures; changes made at suggestion of an anonymous ...
Chang, Christopher, Hellsten, Simeon, Losada, Mario Marcos, Novac, Sergiu   +3 more
openaire   +2 more sources

Noncomplete affine structures on Lie algebras of maximal class

International Journal of Mathematics and Mathematical Sciences, 2002
Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
doaj   +1 more source

The faithful triangular representations of Kaloujnine$p$-groups over a $p$-element field

Karpatsʹkì Matematičnì Publìkacìï, 2013
The faithful triangular representations of finite Kaloujnine $p$-groups is studied. Images of generators of those groups are described. Infinite-dimensional representation of the direct limit of Kaloujnine $p$-groups is regarded.
Y. G. Leonov
doaj   +1 more source

Faithful representations of association schemes [PDF]

Proceedings of the American Mathematical Society, 2011
Every character of an association scheme can be considered as a faithful character of some quotient scheme. Also we will show that a faithful character of an association scheme determines a thin closed subset which is cyclic as a finite group.
openaire   +2 more sources

On representation matrices of Kaloujnine’s 2-groups (in Russian) [PDF]

Математичні Студії, 2011
Images of the faithful triangular representation of Kaloujnine's 2-groups are obtained.
Yu. G. Leonov
doaj