Results 1 to 10 of about 5,460 (293)
On irreducible projective representations of finite groups [PDF]
Surveys in Mathematics and its Applications, 2009 The paper is a survey type article inwhich we present some results on irreducible projective representations offinite groups. Section 2 includes Curtis and Reiner's theorem inwhich is proved that a finite group has at most a finite number ofinequivalent ...
Tania-Luminiţa Costache
doaj +1 more source
GENERICALLY FREE REPRESENTATIONS II: IRREDUCIBLE REPRESENTATIONS [PDF]
Transformation Groups, 2020 We determine which faithful irreducible representations $V$ of a simple linear algebraic group $G$ are generically free for Lie($G$), i.e., which $V$ have an open subset consisting of vectors whose stabilizer in Lie($G$) is zero. This relies on bounds on $\dim V$ obtained in prior work (part I), which reduce the problem to a finite number of ...
Garibaldi, Skip, Guralnick, Robert M.
openaire +2 more sources
A note on representations of the finite Heisenberg group and sums of greatest common divisors [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We review an elementary approach to the construction of all irreducible representations of the finite Heisenberg group. Determining the number of inequivalent classes of irreducible representations by different methods leads to an identity of sums ...
Johannes Grassberger, Günther Hörmann
doaj +3 more sources
Local newforms for the general linear groups over a non-archimedean local field
Forum of Mathematics, Pi, 2022 In [14], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-adic general linear groups indexed by nonnegative integers and established the theory of local newforms for irreducible generic representations. In this paper, we
Hiraku Atobe +2 more
doaj +1 more source
SciPost Physics Proceedings, 2023 We construct a new class of finite dimensional indecomposable representations of simple superalgebras which may explain, in a natural way, the existence of the heavier elementary particles.
Jean Thierry-Mieg, Peter D. Jarvis, Jerome Germoni, Maria Gorelik
doaj +1 more source
On some integral representations of groups and global irreducibility. [PDF]
International Journal of Group Theory, 2018 Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
doaj +1 more source
Comments of Z22-supersymmetry in superfield formalism
Nuclear Physics B, 2022 We investigate superfield formulation of the minimal Z22-supersymmetry. It is shown that the integrability on Z22-superspace guarantees the invariance of action.
S. Doi, N. Aizawa
doaj +1 more source
Dyson’s classification and real division superalgebras
Journal of High Energy Physics, 2021 It is well-known that unitary irreducible representations of groups can be usefully classified in a 3-fold classification scheme: Real, Complex, Quaternionic.
Roman Geiko, Gregory W. Moore
doaj +1 more source
On families of twisted power partial isometries
Karpatsʹkì Matematičnì Publìkacìï, 2022 We consider families of power partial isometries satisfying twisted commutation relations with deformation parameters $\lambda_{ij}\in\mathbb C$, $|\lambda_{ij}|=1$.
V.L. Ostrovskyi +2 more
doaj +1 more source
Irreducible Modular Representations of the Reflection Group G(m,1,n)
Journal of Mathematics, 2015 In an article published in 1980, Farahat and Peel realized the irreducible modular representations of the symmetric group. One year later, Al-Aamily, Morris, and Peel constructed the irreducible modular representations for a Weyl group of type Bn.
José O. Araujo +2 more
doaj +1 more source