Results 61 to 70 of about 5,034 (247)
ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS
Forum of Mathematics, Sigma, 2020 Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently ...
FLORIAN HERZIG +2 more
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On the ESQ Property of Certain Representations of Metacyclic Groups [PDF]
Advances in Group Theory and Applications, 2017 A group representation is said to have the ESQ property if it is isomorphic to a quotient of its own exterior square. Let us denote the semidirect product of cyclic groups $Z_p\rtimes Z_q$ by $F_{p,q}$, where p is a prime and $q | p − 1$.
János Wolosz
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IRREDUCIBLE '-REPRESENTATIONS ON BANACH '-ALGEBRAS
Demonstratio Mathematica, 1999 Let \(A\) be a complex Banach \(*\)-algebra and, for \(a\in A\), \(g(a)\) the supremum of \(\eta(a)\) over all \(B^*\)-seminorms \(\eta\) on \(A\). A linear functional \(f\) on \(A\) is \(g\)-bounded iff \(|f|_g= \sup\{f(a):g(a)\leq 1\}\) is finite; \(D(g)\) is the set of \(g\)-bounded functionals with \(|f|_g\leq 1\).
openaire +2 more sources
Advanced Intelligent Systems, EarlyView.This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
Novel Indexing of Cyclic Codes With Run-Length Applications
IEEE Access, 2019 Any cyclic code over a finite field can be considered as a sum of some non-degenerate irreducible cyclic codes. We use the traditional trace function representation of irreducible cyclic codes to suggest a similar representation to any cyclic code.
Hai Q. Dinh +2 more
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Universal Entanglement and an Information‐Complete Quantum Theory
Advanced Physics Research, EarlyView.This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
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On tensor squares of irreducible representations of almost simple groups. I
Моделирование и анализ информационных систем, 2011 Almost simple SM_m-groups are considered. A group G is called a SM_m-group if the tensor square of any irreducible representation is decomposed into the sum of its irreducible representations with multiplicities not greater than m.
S. V. Polyakov
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Irreducible representations of Yangians
Journal of Algebra, 2011 We give explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra and of its twisted analogues, corresponding to symplectic and orthogonal Lie algebras. In particular, we develop the fusion procedure for twisted Yangians. For the non-twisted Yangian, this procedure goes back to the works of Cherednik.
Sergey Khoroshkin +2 more
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Na5FeS4 as High‐Capacity Positive Electrode Active Material for All‐Solid‐State Sodium Batteries
Batteries &Supercaps, EarlyView.All‐solid‐state sodium cells using Na5FeS4, synthesize through a simple and scalable process using sodium polysulfides, as a positive electrode active material exhibit a high reversible capacity of 480 mAh g−¹, which is attributed to the sufficiently high ionic conductivity of the active material and the maintenance of the active material/solid ...
Yuta Doi +9 more
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Quantum Analogs of Tensor Product Representations of su(1,1)
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study representations of U_q(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1).
Wolter Groenevelt
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