Journal of Pure & Applied AlgebraWilliam Schmitt. Hopf algebra methods in graph theory. Journal of Pure and Applied Algebra, 101:77-90, 1995.Schmitt W R. Hopf Algebra methods in graph theory[J].Journal of Pure and Applied Algebra,1995.77-90....
This Hopf algebra acts on the Feinman diagrams. During the 90s there has been a surge of interest in the structure of general Hopf algebras (mainly finite-dimensional) and fundamental examples of quantum groups. Techniques from other areas such as representation theory, algebraic geometry, category...
ofanabeliangroupGoverkandBisaleftk[G]-modulealgebraand aleftk[G]-comodulecoalgebra[12].MorepreciselyB=B(X)is theNicholsalgebraofafinite-dimensionalYetter-Drinfeldmoduleover thegroupalgebrak[G].See[3,Section2]foradiscussionofNichols algebrasandYetter-Drinfeldmodulesingeneral. Thus U=B(W)#k[Λ]...
Schmitt W R.Hopf Algebra methods in graph theory. Journal of Pure and Applied Algebra . 1995Hopf algebra methods in graph theory - Schmitt - 1995 () Citation Context ...s a Hopf algebra map from Zs(G) to the Hopf algebra Z[x] of Example 3.3. Other Hopf algebras arising from graphs,...
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...
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 ...
Hopf algebra gauge theory on a ribbon graphdoi:10.1142/S0129055X21500161Catherine MeusburgerDerek K. WiseWorld Scientific Publishing Company
Then we reduce the Hopf-algebra axioms, upon reconstruction, to finite sequences of Singer moves, thus proving the completeness of the invariant for that class of 3-manifolds (not only for prime 3-manifolds, as initially proposed).;Finally, we develop methods for evaluating the involutory ...
q-deformed Calogero Vasiliev algebraquantum double constructionR-matrixFock type representationalgebra's structure/ A0365F Algebraic methods in quantum theory A0210 Algebra, set theory, and graph theory A0365G Solutions of wave equations: bound state in quantum theory...