Results 1 to 10 of about 6,914 (263)
Irreducible constituents of monomial representations
Journal of Symbolic Computation, 2006 We describe an algorithm for obtaining the central primitive idempotents of the algebra associated with a monomial representation. As a consequence, we obtain its irreducible constituents. This is implemented in Magma, using an algorithm based on Dixon’s
Previtali, Andrea
core +2 more sources
On The Irreducible Representations Of A Finite Semigroup [PDF]
Proceedings of the American Mathematical Society, 2009 Work of Clifford, Munn and Ponizovskii parameterized the irreducible representations of a finite semigroup in terms of the irreducible representations of its maximal subgroups. Explicit constructions of the irreducible representations were later obtained
Mazorchuk, V. +2 more
core +4 more sources
A note on representations of the finite Heisenberggroup 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 +2 more sources
Some irreducible representations of GL2
上海师范大学学报. 自然科学版, 2023 Let G = GL2(C), and let B be the standard Borel subgroup of G, and let CG (resp. CB) be the group algebra of G (resp. B) over the field of complex numbers. For any character θ of B, define the naive induced module M(θ) = CG×CBθ.
CHEN Xiaoyu, LAI Yuanxu, LI Zhize
doaj +1 more source
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
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
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