Throughout the book, the exposition relies on universal constructions, making systematic use of quotients and category theory — whose language is introduced in the first chapter. The book is divided into four
We would like to be a bit more focused and consider what sort of questions regarding simple tree classes come naturally from the physics and what sort of mathematical insights about simple tree classes give physically interesting results.doi:10.1007/978-3-319-47551-6_7Karen Yeats...
张良云,博士,教授,博士生导师。江苏省“333高层次人才培养工程”首批中青年科学技术带头人,南京农业大学第一届和第二届“133青年教师优秀学术带头人”。现担任江苏省高等学校数学教学研究会副理事长,德国《数学文摘》和《中国数学文摘》评论员,以及担任《Mathematics and Statistics》和《理论数学》杂志的编委。0...
Hopf quivers and Nichols algebras in positive characteristic 2009, Proceedings of the American Mathematical Society Quantum complete rings and blocks with one simple module 2005, Quarterly Journal of Mathematics Generalized taft algebras 2004, Algebra Colloquium Non-principal blocks with one simple module ...
Schweigert, and C. Stigner, From non-semisimple Hopf al- gebras to correlation functions for logarithmic CFT, Journal of Physics A Mathematical General 46 (2013), 4008.FSS13b] , From non-semisimple Hopf algebras to correlation functions for logarithmic CFT, J. Phys. A 46 (2013), no. 49...
Weak Hopf algebras and reducible Jones inclusions of depth 2. – I: From crossed products to Jones towers - Nill, Szlachány, et al. - 1998 () Citation Context ...ional by 3.1(ii). Conversely, if G is finite-dimensional, so is H, and the factor A b∗α N a(A) ′, and ...
to an isomorphism,Cis a smash product coalgebra between a coalgebra inandH. Note that all the mentioned structure theorems actually characterize the (co)algebras within some monoidal categories of quasi-Hopf (bi)modules. Furthermore, the involved structures are a smash product algebra and a ...
of the invariants and explicit computational results are shown especially when A is a finite-dimensional unimodular Hopf algebra, which is naturally regarded as a quantum-commutative quantum-symmetric algebra in the braided tensor category ${}_{A}^{A}mathcal{YD}$ of Yetteru2013Drinfeld modules. ...
2 Preliminaries 2.1 ∗-Regular rings and rank functions A ∗-regular ring is a regular ring R endowed with a proper involution ∗, that is, x∗x = 0 if and only if x = 0. In a ∗-regular ring R, for every x ∈ R there exist unique projections e, f ∈ R such that ...
She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics. As one of the leading mathematicians of her time, she developed the theories of rings, fields, and algebras. In physics, Noether'...