Quantum group of type A and representations of queer Lie superalgebra
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Chih-Whi Chen, Shun-Jen Cheng
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Integration of semidirect product Lie 2-algebras
The semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid appearing in generalized complex geometry.
Sheng, Yunhe, Zhu, Chenchang
core +1 more source
Lie group representations and harmonic polynomials of a matrix variable [PDF]
The first part of this paper deals with problems concerning the symmetric algebra of complex-valued polynomial functions on the complex vector space of n by k matrices. In this context, a generalization of the so-called “classical separation of variables theorem” for the symmetric algebra is obtained.
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Réalisation du flot géodesique sur le groupe SO(n) comme flot sur des orbites de Kotant-Kirillov/Realization of geodesic flow on the group SO(n) as a flow on Kostant-Kirillov orbits [PDF]
The aim of this paper is to realize the geodesic flow on the group SO(n) as a flow on the Kostant-Kirillov orbits. We study the adjoint and coadjoint orbits of a Lie group with an application in the case of the orthogonal special group SO(n). We will see
Ahmed Lesfari
doaj
ABSTRACT Background Psychological safety (PS) is essential for teamwork, communication, and patient safety in complex healthcare environments. In pediatric oncology, interprofessional collaboration occurs under high emotional and organizational demands. Low PS may increase stress, burnout, and adverse events.
Alexandros Rahn +4 more
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
wiley +1 more source
Spin Hurwitz theory and Miwa transform for the Schur Q-functions
Schur functions are the common eigenfunctions of generalized cut-and-join operators which form a closed algebra. They can be expressed as differential operators in time-variables and also through the eigenvalues of auxiliary N×N matrices X, known as Miwa
A. Mironov, A. Morozov, A. Zhabin
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E8 and the average size of the 3‐Selmer group of the Jacobian of a pointed genus‐2 curve [PDF]
We prove that the average size of the 3‐Selmer group of a genus‐2 curve with a marked Weierstrass point is 4. We accomplish this by studying rational and integral orbits in the representation associated to a stably Z/3Z ‐graded simple Lie algebra of type
Beth Romano, J. Thorne
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SL(3,C) structure of one-dimensional Schr\"odinger equation
We present a new formalism for describing solutions of the one-dimensional stationary Schr\"odinger equation in terms of the Lie group SL(3,C) and its Lie algebra.
Miyazawa, Toru
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley +1 more source

