Not signed in

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

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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 definitions 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 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

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 10th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded mentioning of the example of antipodes in Hopf algebras <a href="https://ncatlab.org/nlab/revision/diff/antihomomorphism/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/antihomomorphism/3">v3</a>, <a href="https://ncatlab.org/nlab/show/antihomomorphism">current</a>

   added mentioning of the example of antipodes in Hopf algebras

   diff, v3, current

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeMay 10th 2021
   • PermaLink
   Author: zskoda
   Format: MarkdownItexThe same is separately required for antipodes on associative [[bialgebroid]]s (it is not a theorem without some additional assumption, e.g. it is sufficient to ask that the antipode, say in the Bohm-Szlachanyi axiomatization is in certain sense (anti)compatible with bimodule structure on the total algebra. <a href="https://ncatlab.org/nlab/revision/diff/antihomomorphism/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/antihomomorphism/4">v4</a>, <a href="https://ncatlab.org/nlab/show/antihomomorphism">current</a>

   The same is separately required for antipodes on associative bialgebroids (it is not a theorem without some additional assumption, e.g. it is sufficient to ask that the antipode, say in the Bohm-Szlachanyi axiomatization is in certain sense (anti)compatible with bimodule structure on the total algebra.

   diff, v4, current