Results 31 to 40 of about 225,328 (312)

A Unified Algebraic Approach to Classical Yang-Baxter Equation

, 2007
In this paper, the different operator forms of classical Yang-Baxter equation are given in the tensor expression through a unified algebraic method.
Bakalov B, Balinskii A A, Chapoton F, Chari V, Chengming Bai, Diatta A Medina A, Drinfel'd V, Etingof P, Faddeev L D, Faddeev L D, Jacobson N, Kaneyuki S, Kim H, Koszul J-L, Kupershmidt B A, Medina A, Schouten J A, Vinberg E B, Winterhalder A, Zel'manov E I   +19 more
core   +2 more sources

Lie Groupoids and Lie algebroids in physics and noncommutative geometry [PDF]

, 2005
The aim of this review paper is to explain the relevance of Lie groupoids and Lie algebroids to both physicists and noncommutative geometers. Groupoids generalize groups, spaces, group actions, and equivalence relations.
Atiyah, Blackadar, Bott, Bratteli, Connes, Connes, Connes, Courant, Crainic, Doplicher, Faith, Glimm, Glimm, Gotay, Gotay, Green, Guillemin, Guillemin, Guillemin, Haag, Haefliger, Higson, Hilsum, Huebschmann, Jeffrey, Krishnaprasad, Landsman, Landsman, Landsman, Landsman, Landsman, Landsman, Landsman, Macho Stadler, Mackenzie, Mackenzie, Mackey, Mackey, Marsden, Marsden, Meinrenken, Mikami, Mislin, Moerdijk, Muhly, N.P. Landsman, Nest, Nistor, Paterson, Pauli, Pedersen, Pedersen, Phillips, Primas, Renault, Rieffel, Rieffel, Rieffel, Schmüdgen, Sjamaar, Thirring, Tian, van Hove, von Neumann, von Neumann, Weinstein, Weinstein, Weinstein, Weinstein, Xu, Zakrzewski, Ørsted   +71 more
core   +2 more sources

Topology in Biological Piezoelectric Materials

Advanced Materials, EarlyView.
This review summarizes the topological structures in biological piezoelectric materials, covering morphology evolution, spatial arrangement, and biomimetic strategies. These topologies modulate structure‐property relationships across multiple scales, enabling performance enhancement and multifunctional integration.
Chen Chen, Yanhu Zhang, Yi Zheng, Yi Zhang, Hongyi Liu, Jiang Wu, Liang Yang, Zhengbao Yang   +7 more
wiley   +1 more source

Vertex operator algebra with two τ-involutions generating S[3] [PDF]

, 2003
The notion of vertex operator algebras(VOAs) isintroduced in [B,FLM]. The most interesting example of vertex operator algebras is the Moonshine VOA V ...Thesis (Ph. D. in Mathematics)--University of Tsukuba, (A), no.
Sakuma Shinya, 佐久間 伸也
core  

Free Rota-Baxter algebras and rooted trees

, 2008
A Rota-Baxter algebra, also known as a Baxter algebra, is an algebra with a linear operator satisfying a relation, called the Rota-Baxter relation, that generalizes the integration by parts formula.
Aguiar M., Aguiar M., Ebrahimi-Fard E., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Guo L., Guo L., Guo L., Holtkamp R., KURUSCH EBRAHIMI-FARD, LI GUO, Loday J.-L., Pirashvili T., Rota G., Rota G.   +18 more
core   +2 more sources

AI‐Driven Defect Engineering for Advanced Thermoelectric Materials

Advanced Materials, EarlyView.
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu, Mouyang Cheng, Nguyen Tuan Hung, Eunbi Rha, Zhantao Chen, Ryotaro Okabe, Denisse Córdova Carrizales, Manasi Mandal, Yongqiang Cheng, Mingda Li   +9 more
wiley   +1 more source

From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory. [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 2005
Two-dimensional conformal quantum field theory (CFT) has inspired an immense amount of mathematics and has interacted with mathematics in very rich ways, in great part through the mathematically dynamic world of string theory. One notable example of this
J. Lepowsky
semanticscholar   +1 more source

Dilations of frames, operator valued measures and bounded linear maps

, 2014
We will give an outline of the main results in our recent AMS Memoir, and include some new results, exposition and open problems. In that memoir we developed a general dilation theory for operator valued measures acting on Banach spaces where operator ...
Han, Deguang, Larson, David R., Liu, Bei, Liu, Rui   +3 more
core   +1 more source

FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model for Dynamical Simulation

Advanced Theory and Simulations, EarlyView.
FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
wiley   +1 more source

Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory [PDF]

, 2008
We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of ...
Kong, Liang, Runkel, Ingo
core   +3 more sources