Results 131 to 140 of about 789,472 (346)

Irreducible Representations for Toroidal Lie Algebras

, 1999
In this work a large number of irreducible representations with finite dimensional weight spaces are constructed for some toroidal Lie algebras. To accomplish this we develop a general theory of Z n-graded Lie algebras with polynomial multiplication.
S. Berman, Y. Billig
semanticscholar   +1 more source

Heisenberg‐smooth operators from the phase‐space perspective

Mathematische Nachrichten, EarlyView.
Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley   +1 more source

On the primitive representations of finitely generated metabelian groups of finite rank over a field of non-zero characteristic

Karpatsʹkì Matematičnì Publìkacìï, 2014
We consider some conditions for imprimitivity of irreducible representations of a metebelian group $G$ of finite rank over a field $k$. We shoved that in the case where $char\; k = p > 0$ these conditions strongly depend on existence of infinite $p ...
A.V. Tushev
doaj   +1 more source

On representation theory of quantum $SL_q(2)$ groups at roots of unity

, 1996
Irreducible representations of quantum groups $SL_q(2)$ (in Woronowicz' approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the~case of $q$ being an~odd root of unity.
Kondratowicz, P., Podles, P.
core  

Current Application Status and Innovative Development of Surgical Robot

Med Research, EarlyView.
Advantage, Challenge and Innovation of surgical robots. ABSTRACT Surgery has undergone a revolutionary development since the innovations in anesthesiology, aseptic techniques, and antibiotics. The use of modern techniques, especially minimally invasive techniques, has led to a new era of microsurgery and reduced patient trauma.
Aimin Jiang, Zhao Tang, Hanzhong Zhang, Jinxin Li, Jialin Meng, Ying Liu, Yu Fang, Juan Lu, Xu Zhang, Le Qu, Anqi Lin, Linhui Wang   +11 more
wiley   +1 more source

The nonuniqueness of irreducible constituents of integral group representations [PDF]

, 1960
Irving Reiner
openalex   +2 more sources

Harnessing Small‐Data Machine Learning for Transformative Mental Health Forecasting: Towards Precision Psychiatry With Personalised Digital Phenotyping

Med Research, EarlyView.
Small‐data machine learning models (e.g., TabPFN, GPs) harness sparse digital phenotyping streams from wearables and smartphones to forecast individualized mental health trajectories, enabling proactive interventions through uncertainty‐aware predictions and closed‐loop clinical integration. ABSTRACT Advances in digital phenotyping have opened the door
Peng Wang, Hongjun Liu, Yiming Shi, Ao Liu, Qingyu Zhu, Irina Albu, Maja Pacholec, Lulu Cheng, Xu Sun, Xinli Chi   +9 more
wiley   +1 more source

Comparative Insights Into the Structural, Electronic, Elastic, Vibrational, and Optical Properties of Rare‐Earth Palladium Borides RBPd3 (R = Lu, Yb)

Nano Select, EarlyView.
This study focuses on the ground‐state properties of two rare earth palladium borides, LuBPd3 and YbBPd3. The WIEN2k package is used to investigate the properties. The compounds’ exceptional thermal and optoelectronic properties make them suitable for high‐temperature applications, UV absorbers, and infrared (IR) shielding materials.
Md. Injamamul Haque, Arpon Chakraborty, Mst. Halima Khatun, Md. Samiul Islam Sarker, M. Khalilur Rahman Khan, Md. Leaket Ali, Md. Shahjahan, Md. Nurul Huda Liton   +7 more
wiley   +1 more source

Induced Representation Method in the Theory of Electron Structure and Superconductivity

Advances in Mathematical Physics, 2019
It is shown that the application of theorems of induced representations method, namely, Frobenius reciprocity theorem, transitivity of induction theorem, and Mackey theorem on symmetrized squares, makes simplifying standard techniques in the theory of ...
V. G. Yarzhemsky
doaj   +1 more source

Improved Regression Tree Models Using Generalization Error‐Based Splitting Criteria

Naval Research Logistics (NRL), EarlyView.
ABSTRACT Despite the widespread application of machine learning (ML) approaches such as the regression tree (RT) in the field of data‐driven optimization, overfitting may impair the effectiveness of ML models and thus hinder the deployment of ML for decision‐making.
Ying Yang, Shuaian Wang, Gilbert Laporte
wiley   +1 more source