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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 finite 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 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

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 11th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexbrief `category:people`-entry for hyperlinking references <a href="https://ncatlab.org/nlab/revision/Gigel+Militaru/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Gigel+Militaru">current</a>

   brief category:people-entry for hyperlinking references

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeAug 12th 2023
   • PermaLink
   Author: zskoda
   Format: MarkdownItexAbout associative bialgebroids and in particalar about those arising as smash products of a Hopf algebra $H$ with a braided commutative Yetter-Drinfeld $H$-module algebra $A$ (scalar extension bialgebroids) * [[T. Brzeziński]], G. Militaru, _Bialgebroids, $\times_A$-bialgebras and duality_, J. Algebra __251__: 279-294, 2002 [math.QA/0012164](http://arxiv.org/abs/math.QA/0012164) <a href="https://ncatlab.org/nlab/revision/diff/Gigel+Militaru/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/Gigel+Militaru/2">v2</a>, <a href="https://ncatlab.org/nlab/show/Gigel+Militaru">current</a>

   About associative bialgebroids and in particalar about those arising as smash products of a Hopf algebra $H$ with a braided commutative Yetter-Drinfeld $H$-module algebra $A$ (scalar extension bialgebroids)

   • T. Brzeziński, G. Militaru, Bialgebroids, $\times_A$-bialgebras and duality, J. Algebra 251: 279-294, 2002 math.QA/0012164

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeAug 12th 2023
   • PermaLink
   Author: zskoda
   Format: MarkdownItexThe structure of finite-dimensional Hopf algebras can be recovered from the fundamental operator (idea of [[multiplicative unitary]]) in the language of finite-dimensional [[Heisenberg doubles]] as shown in * [[Gigel Militaru]], _Heisenberg double, pentagon equation, structure and classification of finite-dimensional Hopf algebras_, J. London Math. Soc. (2) 69 (2004) 44--64 [doi](https://doi.org/10.1112/S0024610703004897) <a href="https://ncatlab.org/nlab/revision/diff/Gigel+Militaru/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Gigel+Militaru/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Gigel+Militaru">current</a>

   The structure of finite-dimensional Hopf algebras can be recovered from the fundamental operator (idea of multiplicative unitary) in the language of finite-dimensional Heisenberg doubles as shown in

   • Gigel Militaru, Heisenberg double, pentagon equation, structure and classification of finite-dimensional Hopf algebras, J. London Math. Soc. (2) 69 (2004) 44–64 doi

   diff, v4, current