Results 21 to 30 of about 10,174 (306)

On the primitive irreducible representations of finitely generated nilpotent groups

Доповiдi Нацiональної академiї наук України, 2021
We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of a finitely generated nilpotent ...
A.V. Tushev
doaj   +1 more source

Invariant tensors for the spin representation of $\frak{so}$(7) [PDF]

, 2008
We give a graphical calculus for the invariant tensors of the eight dimensional spin representation of the quantum group Uq(B3). This leads to a finite confluent presentation of the centraliser algebras of the tensor powers of this representation and a ...
Westbury, Bruce W.
core   +1 more source

Fuzzy de Sitter space

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, Duško Latas, Luka Nenadović   +2 more
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

An irreducible smooth non-admissible representation [PDF]

, 1990
It is shown for the group of k-rational points of an affine algebraic group G with k a finite extension of Qp that the topological irreducibility of unitary representations of G does not have to be equivalent to the algebraic irreducibility of the ...
Helminck, G.F.
core   +1 more source

On non-admissible irreducible modulo $p$ representations of $\protect \mathrm{GL}_{2}(\protect \mathbb{Q}_{p^{2}})$

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

Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]

, 2003
The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D., Iain Gordon, Dmitriy Rumynin, Gordon, I. (Iain), Rumynin, Dmitriy, Gordon, I.   +5 more
core   +1 more source

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

Massless finite and infinite spin representations of Poincaré group in six dimensions

Physics Letters B, 2021
We study the massless irreducible representations of the Poincaré group in the six-dimensional Minkowski space. The Casimir operators are constructed and their eigenvalues are found.
I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, M.A. Podoinitsyn   +3 more
doaj   +1 more source