Results 21 to 30 of about 4,857 (288)
On the irreducible representations of a finite semigroup [PDF]
Proceedings of the American Mathematical Society, 2009 Work of Clifford, Munn and Ponizovski{\u } 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 independently by Rhodes and Zalcstein and by Lallement and Petrich.
Volodymyr Mazorchuk +2 more
openaire +3 more sources
Irreducibility of a specialization of the three dimensional Albeverio-Rabanovich representation of the pure braid group P3 [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2020 We consider the Albeverio-Rabanovich linear representation π of the braid group B3. After specializing the indeterminates used in defining the representation to non-zero complex numbers, we prove that its restriction to the pure braid group P3 of ...
Hasan A. Haidar, Mohammad N. Abdulrahim
doaj
European Physical Journal C: Particles and Fields, 2018 We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić +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 ...
Skip Garibaldi, Robert M. Guralnick
openaire +4 more sources
The H-polynomial of an irreducible representation
Journal of Algebra, 2011 AbstractLet G be a simple algebraic group. Associated with the finite-dimensional rational representation ρ:G→End(V) of G there is the monoid Mρ=K⁎ρ(G)¯⊆End(V) and the projective G×G-embedding Pρ=[Mρ∖{0}]/K⁎. One can identify the cases where Pρ is rationally smooth; and in such cases it is desirable to calculate the H-polynomial, H, of Pρ.
Lex E. Renner
openalex +3 more sources
BasisGen: automatic generation of operator bases
European Physical Journal C: Particles and Fields, 2019 BasisGen is a Python package for the automatic generation of bases of operators in effective field theories. It accepts any semisimple symmetry group and fields in any of its finite dimensional irreducible representations.
Juan Carlos Criado
doaj +1 more source
Comptes Rendus. Mathématique, 2020 We use a Diamond diagram attached to a 2-dimensional reducible split mod $p$ Galois representation of $\mathrm{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p^{2}})$ to construct a non-admissible smooth irreducible mod $p$ representation of $\mathrm{GL}_{2}(
Ghate, Eknath, Sheth, Mihir
doaj +1 more source
Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
doaj +1 more source
The degree of the discriminant of irreducible representations
Journal of Algebraic Geometry, 2008 We present a formula for the degree of the discriminant of irreducible representations of a Lie group, in terms of the roots of the group and the highest weight of the representation. The proof uses equivariant cohomology techniques, namely, the theory of Thom polynomials, and a new method for their computation.
László M. Fehér +2 more
openaire +3 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