Results 71 to 80 of about 6,914 (263)

Computing irreducible representations of groups

, 1970
How can you find a complete set of inequivalent irreducible (ordinary) representations of a finite group? The theory is classical but, except when the group was very small or had a rather special structure, the actual computations were prohibitive before
John D. Dixon
core   +1 more source

The H-polynomial of an irreducible representation

Journal of Algebra, 2011
Associated with the finite-dimensional rational representation \(\rho\colon G\to\text{End}(V)\) of a simple algebraic group \(G\) over an algebraically closed field \(K\) there is the monoid \(M_\rho:=\overline{K^*\rho(G)}\subseteq\text{End}(V)\) and projective \(G\times G\)-embedding \(\mathbb P_\rho=[M_\rho\setminus\{0\}]/K^*\).
openaire   +1 more source

Deep Learning‐Assisted Coherent Raman Scattering Microscopy

Advanced Intelligent Discovery, EarlyView.
The analytical capabilities of coherent Raman scattering microscopy are augmented through deep learning integration. This synergistic paradigm improves fundamental performance via denoising, deconvolution, and hyperspectral unmixing. Concurrently, it enhances downstream image analysis including subcellular localization, virtual staining, and clinical ...
Jianlin Liu, Rujia Liu, Xinyan Zhang, Xun Chen, Shuhua Yue   +4 more
wiley   +1 more source

More varieties of 4-d gauge theories: product representations

Journal of High Energy Physics
Recently, we used methods of arithmetic geometry to study the anomaly-free irreducible representations of an arbitrary gauge Lie algebra. Here we generalize to the case of products of irreducible representations, where it is again possible to give a ...
Ben Gripaios, Khoi Le Nguyen Nguyen
doaj   +1 more source

Orthogonal bases in specific generalized symmetry classes of tensors [PDF]

Journal of Mahani Mathematical Research
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
doaj   +1 more source

Permutation representations and rational irreducibility [PDF]

Bulletin of the Australian Mathematical Society, 2005
The natural character π of a finite transitive permutation group G has the form 1G + θ where θ is a character which affords a rational representation of G. We call G a QI-group if this representation is irreducible over ℚ. Every 2-transitive group is a QI-group, but the latter class of groups is larger.
openaire   +1 more source

FIRE‐GNN: Force‐Informed, Relaxed Equivariance Graph Neural Network for Rapid and Accurate Prediction of Surface Properties

Advanced Intelligent Discovery, EarlyView.
This study introduces FIRE‐GNN, a force‐informed, relaxed equivariant graph neural network for predicting surface work functions and cleavage energies from slab structures. By incorporating surface‐normal symmetry breaking and machine learning interatomic potential‐derived force information, the approach achieves state‐of‐the‐art accuracy and enables ...
Circe Hsu, Claire Schlesinger, Karan Mudaliar, Jordan Leung, Robin Walters, Peter Schindler   +5 more
wiley   +1 more source

Admissible representations and characters of the affine superalgebras osp(l,2) and ŝl(2|l) [PDF]

, 1998
In this thesis we compute characters and supercharacters of irreducible admissible representations for the two affine superalgebras osp(l,2;C) and l(2|l;C).The work on osp(l, 2; C) includes a derivation of the embedding diagram.
Hayes, Michael Robert
core  

Irreducible representations of Yangians

, 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.
Maxim Nazarov, Sergey Khoroshkin, Nazarov, Maxim, PAPI, Paolo, Khoroshkin, Sergey, Paolo Papi   +5 more
core   +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.
Fehér, L. M., Némethi, A., Rimányi, R.   +2 more
openaire   +3 more sources