(1995) Hopf algebra methods in graph theory. Journal of Pure and Applied Algebra, 101, 77-90.Schmitt W R.Hopf Algebra methods in graph theory[J].J Pure Appl Algebra,1995,101:77-90.W. R. Schmitt. Hopf Algebra Methods in Graph Theory. Journal of Pure and Applied Algebra. 101: 77-90...
首先对于一个任意给定的fusion categoryS,我们可以通过Tanaka-Krein duality或者Kitaev-Kong边界tube代数(证明可参考我们的这篇文章,其中使用的结构常数略有不同)的方法去恢复一个weak Hopf agebraH。可以将这个weak Hopf algebra看作一个qudit。接着考虑如下的一个ladder: 利用我之前的结论: cluster state model = qu...
Bibliography, Theoretical or Mathematical/ algebra quantum theory reviews/ quasitriangular Hopf algebras Yang-Baxter equations quantum group representation theory/ A0365F Algebraic methods in quantum theory A0210 Algebra, set theory, and graph theory A0130R Reviews and tutorial papers resource letters DOI...
Mathematics - Quantum AlgebraGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryA finite set can be supplied with a group structure which ... K Bresser,F Müller-Hoissen,A Dimakis,... - 《Journal of Physics A Mathematical & General》 被引量: 113发表: 1996年 Noncommutative D...
Hopf Algebra methods in graph theory[J].Journal of Pure and Applied Algebra,1995.77-90.Hopf algebra methods in graph theory, J. Pure Appl. Algebra 101 (1995), no. 1, 77-90. MR 1346429 (96e:16056) 89, 90W. Schmitt, Hopf algebra methods in graph theory, J. Pure Appl. Algebr. 101...
Starting from physical considerations, we derive an axiomatic definition of Hopf-algebra gauge theory, including locality conditions under which the theory for a general ribbon graph can be assembled from local data in the neighbourhood of each vertex. For a vertex neighbourhood with n incoming edge...
geometry/ A0365F Algebraic methods in quantum theory A0210 Algebra, set theory, and graph theoryWe study Sorkin's proposal of a generalization of quantum mechanicsand find that the theories proposed derive their probabilities fromkth order polynomials in additive measures, in the same way that...
Blasiak, et al., “Hopf algebra structure of a model quantum field theory,” in: J. L. Birman, S. Catto, and B. Nicolescu (eds.), Proceedings of the 26th International Colloquium on Group Theoretical Methods in Physics (New York, 2007) , Canopus Publishing (2009), p. 490....
Hopf algebra gauge theory on a ribbon graphdoi:10.1142/S0129055X21500161Catherine MeusburgerDerek K. WiseWorld Scientific Publishing Company
representation theory/ A0365F Algebraic methods in quantum theory A0210 Algebra, set theory, and graph theory A0130R Reviews and tutorial papersresource lettersThis is an informal introduction to the theory of quasitriangular Hopf algebras and its connections with physics. Basic properties and ...