Results 91 to 100 of about 377,813 (234)

A Stone-Weierstrass theorem for group representations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1978
It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable
Joe Repka
doaj   +1 more source

Homology Stability for Unitary Groups II [PDF]

open access: yesK-Theory, 2005
In this note the homology stability problem for hyperbolic unitary groups over a local ring with an infinite residue field is studied.
openaire   +4 more sources

Triangle Groups as Subgroups of Unitary Groups

open access: yesJournal of Algebra, 2001
The triangle groups \(T(2,3,k)=\langle x,y\mid x^2=y^3=(xy)^k=1\rangle\) are shown to be subgroups of a unitary group \(\text{PSU}(2,\mathbb{Z}[\varepsilon])\) defined by a suitable Hermitian form, where the complex root \(\varepsilon\) of 1 has order \(k\) for odd \(k\) and order \(2k\) for even \(k\). Th authors prove the following main result: \(T(2,
Vsemirnov, Maxim   +2 more
openaire   +2 more sources

Homotopy type of the unitary group of the uniform Roe algebra on $\mathbb{Z}^n$

open access: green, 2021
Tsuyoshi Kato   +2 more
openalex   +1 more source

Weil Representations of Unitary Groups

open access: yesJournal of Algebra, 1999
It is well known that the finite unitary group \(\text{U}_n(q)\), where \(q\) is a positive integral power of a prime \(p\), has a complex representation of degree \(q^n\). This representation may be normalized so that it has determinant \(1\) on each group element.
openaire   +2 more sources

曲柄群驱动机构曲柄单元的动平衡研究

open access: yesJixie chuandong, 2014
A new type of transmission mechanism——crank-group driving mechanism is introduced.Taking into account the vibration problems of the mechanism in the process of high speed,and combining with the movement distribution form of crank-group mechanism,and ...
王文将, 曹巨江, 刘岩松, 任升
doaj  

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