Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeJun 1st 2023
    • (edited Jun 1st 2023)

    Added a section with basic references.

    • M. E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, 1969
    • Matthieu Anel, André Joyal, Sweedler Theory for (co)algebras and the bar-cobar constructions, arXiv:1309.6952
    • D Tambara, The coendomorphism bialgebra of an algebra, J. Fac. Sci. Univ. Tokyo Sect. IA Math, 37, 425-456, 1990 pdf
    • Martin Hyland, Ignacio López Franco, Christina Vasilakopoulou, Hopf measuring comonoids and enrichment, Proc. London Math. Soc. 115:5 (2017) 1118-1148, doi
    • Christina Vasilakopoulou, Enrichment of categories of algebras and modules, arXiv:1205.6450
    • Marjorie Batchelor, Measuring coalgebras, quantum group-like objects, and non-commutative geometry, In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics 375 doi; Measuring comodules - their applications, J. Geom. Physics 36:3-4 (2009) 251-269 doi; Difference operators, measuring coalgebras and quantum group like objects, Adv. Math. 105, 190-218 (1994) pdf
    • Maximilien Péroux , The coalgebraic enrichment of algebras in higher categories, J. Pure Appl. Alg. 226:3 (2022) 106849 doi
    • Paige Randall North, Maximilien Péroux, Coinductive control of inductive data types, arXiv:2303.16793

    diff, v8, current