Results 1 to 10 of about 142,071 (310)

Irreducible Modular Representations of the Reflection Group G(m,1,n) [PDF]

open access: goldJournal 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   +2 more sources

On irreducible projective representations of finite groups [PDF]

open access: greenSurveys 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

A note on representations of the finite Heisenberg group and sums of greatest common divisors [PDF]

open access: yesDiscrete 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

open access: yesForum 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

Construction of matryoshka nested indecomposable N-replications of Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and osp(2/2n) series

open access: yesSciPost 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]

open access: yesInternational 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

open access: yesNuclear 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

open access: yesJournal 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

open access: yesKarpatsʹkì 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

Extended Poincar\'e supersymmetry in three dimensions and supersymmetric anyons [PDF]

open access: yes, 2012
We classify the unitary representations of the extended Poincar\'e supergroups in three dimensions. Irreducible unitary representations of any spin can appear, which correspond to supersymmetric anyons.
A. Tureanu   +6 more
core   +2 more sources

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