Results 91 to 100 of about 789,472 (346)

Machine learning Lie structures & applications to physics

Physics Letters B, 2021
Classical and exceptional Lie algebras and their representations are among the most important tools in the analysis of symmetry in physical systems.
Heng-Yu Chen, Yang-Hui He, Shailesh Lal, Suvajit Majumder   +3 more
doaj  

IrRep: Symmetry eigenvalues and irreducible representations of ab initio band structures [PDF]

Computer Physics Communications, 2020
M. Iraola, J. Mañes, B. Bradlyn, Matthew K. Horton, T. Neupert, M. Vergniory, S. Tsirkin   +6 more
semanticscholar   +1 more source

Geometric Proof of a Conjecture of Fulton [PDF]

, 2005
We give a geometric proof of a conjecture of W. Fulton on the multiplicities of irreducible representations in a tensor product of irreducible representations for GL(r).Comment: 10 pages, no ...
Belkale, Prakash
core  

Degenerate Series Representations of the $q$-Deformed Algebra ${\rm so}'_q(r,s)$

, 2007
The q-deformed algebra ${\rm so}'_q(r,s)$ is a real form of the q-deformed algebra $U'_q({\rm so}(n,\mathbb{C}))$, $n=r+s$, which differs from the quantum algebra $U_q({\rm so}(n,\mathbb{C}))$ of Drinfeld and Jimbo.
Groza, Valentyna A.
core   +1 more source

Hierarchical Superposition Framework Reveals the Complex Effects of Natural Medicine Formulas

Advanced Intelligent Systems, EarlyView.
A novel hierarchical superposition pharmacological model incorporates the principle of hierarchical structures from physics to simulate the spatiotemporal dynamics of drug combinations, to elucidate the universal law underlying drug combination effects. By modeling cross‐level causal transmission and attenuation, it advances beyond traditional additive
Weifeng Liang, Dingsi Xiang, Shengli Mi, Jiajun Huang   +3 more
wiley   +1 more source

Raising the level for $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\text {GL}_{{n}}$

Forum of Mathematics, Sigma, 2014
We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
doaj   +1 more source

Dual pair correspondence in physics: oscillator realizations and representations

Journal of High Energy Physics, 2020
We study general aspects of the reductive dual pair correspondence, also known as Howe duality. We make an explicit and systematic treatment, where we first derive the oscillator realizations of all irreducible dual pairs: (GL(M, ℝ), GL(N, ℝ)), (GL(M, ℂ),
Thomas Basile, Euihun Joung, Karapet Mkrtchyan, Matin Mojaza   +3 more
doaj   +1 more source

SpaceGroupIrep: A package for irreducible representations of space group [PDF]

Computer Physics Communications, 2020
Gui-Bin Liu, Miao Chu, Zeying Zhang, Zhi-Ming Yu, Yugui Yao   +4 more
semanticscholar   +1 more source

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, EarlyView.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

From tunnels to towers: Quantum scars from Lie algebras and q-deformed Lie algebras

Physical Review Research, 2020
We present a general symmetry-based framework for obtaining many-body Hamiltonians with scarred eigenstates that do not obey the eigenstate thermalization hypothesis.
Nicholas O'Dea, Fiona Burnell, Anushya Chandran, Vedika Khemani   +3 more
doaj   +1 more source