Results 21 to 30 of about 25,217 (143)

Groups having a faithful irreducible representation

Journal of Algebra, 2016
We address the problem of finding necessary and sufficient conditions for an arbitrary group, not necessarily finite, to admit a faithful irreducible representation over an arbitrary field.
openaire   +2 more sources

Chern classes and extraspecial groups

, 1995
The mod-p cohomology ring of the extraspecial p-group of exponent p is studied for odd p. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical.
D. J. Benson, D. Quillen, D. Quillen, D. Quillen, David J. Green, G. Lewis, I. J. Leary, I. J. Leary, Ian J. Leary, M. Tezuka, M.F. Atiyah   +10 more
core   +2 more sources

Adequate groups of low degree [PDF]

, 2015
The notion of adequate subgroups was introduced by Jack Thorne [42]. It is a weakening of the notion of big subgroups used in generalizations of the Taylor-Wiles method for proving the automorphy of certain Galois representations. Using this idea, Thorne
Florian Herzig, Huu Tiep, Pham, Robert Guralnick   +3 more
core   +1 more source

Analytic Loops and Gauge Fields [PDF]

, 2001
In this paper the linear representations of analytic Moufang loops are investigated. We prove that every representation of semisimple analytic Moufang loop is completely reducible and find all nonassociative irreducible representations. We show that such
A Sagle, Acharya, Baulieu, Belavin, Bilge, Bruck, Corrigan, Cremmer, Crossman, Curtright, D'Auria, Donaldson, Dundarer, E.K. Loginov, Eilenberg, Elduque, Elduque, Englert, Fairlie, Faulkner, Figueroa-O'Farrill, Filippov, Floratos, Floratos, Floratos, Fubini, Gunaydin, Gursey, Harvey, Hull, Ivanova, Jacobson, Kerdman, Kuzmin, Kuzmin, Loginov, Lohmus, Malcev, McCrimmon, Sagle, Schafer, Schafer, Witten, Witten, Zhevlakov   +44 more
core   +3 more sources

World Spinors - Construction and Some Applications

, 1998
The existence of a topological double-covering for the $GL(n,R)$ and diffeomorphism groups is reviewed. These groups do not have finite-dimensional faithful representations.
A. B. Borisov, A. Cant, B. Speh, Dj. Šijački, Dj. Šijački, Dj. Šijački, Dj. Šijački, Dj. Šijački, Dj. Šijački, Djordje Šijački, E. Eizenberg, F. W. Hehl, F. W. Hehl, J. Mickelsson, J. P. Draayer, J. P. Elliott, L. C. Biedenharn, L. Weaver, S. Helgason, T. E. Stewart, V. Bargmann, V. I. Ogievetsky, V. I. Ogievetsky, Y. Dothan, Y. Ne'eman, Y. Ne'eman, Y. Ne'eman, Y. Ne'eman, Y. Ne'eman, Y. Ne'eman, Y. Ne'eman, Yuval Ne'eman   +31 more
core   +1 more source

On infinite groups admitting a faithful irreducible representation

, 2016
Necessary and sufficient conditions for a group to possess a faithful irreducible representation are ...
Szechtman, Fernando, Tushev, Anatoliy
openaire   +2 more sources

Three infinite families of reflection Hopf algebras

, 2019
Let $H$ be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra $A$, homogeneously, inner-faithfully, preserving the grading on $A$, and so that $A$ is an $H$-module algebra.
Ferraro, Luigi, Kirkman, Ellen, Moore, W. Frank, Won, Robert   +3 more
core   +1 more source

Heuristically Adaptive Diffusion‐Model Evolutionary Strategy

Advanced Science, EarlyView.
Building on the mathematical equivalence between diffusion models and evolutionary algorithms, researchers demonstrate unprecedented control over evolutionary optimization through conditional diffusion. By training diffusion models to associate parameters with specific traits, they can guide evolution toward solutions exhibiting desired behaviors ...
Benedikt Hartl, Yanbo Zhang, Hananel Hazan, Michael Levin   +3 more
wiley   +1 more source

Monitoring and control of a continuous, integrated filtration‐drying system with in‐line mass spectrometry via PharmaPy

AIChE Journal, EarlyView.
Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur, Daniel Casas‐Orozco, Gintaras Reklaitis, Zoltan K. Nagy   +3 more
wiley   +1 more source

What to Make and How to Make It: Combining Machine Learning and Statistical Learning to Design New Materials

Advanced Intelligent Discovery, EarlyView.
Combining machine learning and probabilistic statistical learning is a powerful way to discover and design new materials. A variety of machine learning approaches can be used to identify promising candidates for target applications, and causal inference can help identify potential ways to make them a reality.
Jonathan Y. C. Ting, Amanda S. Barnard
wiley   +1 more source