Results 141 to 150 of about 680,985 (272)

Hopf Algebras of Graphs

open access: yes, 2004
We define graded Hopf algebras with bases labeled by various types of graphs and hypergraphs, provided with natural embeddings into an algebra of polynomials in infinitely many variables. These algebras are graded by the number of edges and can be considered as generalizations of symmetric or quasi-symmetric functions.
Novelli, Jean-Christophe   +2 more
openaire   +2 more sources

Twist Quantization of String and Hopf Algebraic Symmetry

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
We describe the twist quantization of string worldsheet theory, which unifies the description of quantization and the target space symmetry, based on the twisting of Hopf and module algebras.
Tsuguhiko Asakawa, Satoshi Watamura
doaj   +1 more source

A Class of Non-Hopf Bi-Frobenius Algebras Generated by n Elements

open access: yesMathematics
Bi-Frobenius algebras are a class of Frobenius algebras and Frobenius coalgebras with some compatible conditions. In this paper, we construct a class of bi-Frobenius algebras generated by n elements on graded algebra A.
Zhan Fa, Yanhua Wang
doaj   +1 more source

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