Tag: monoidal-categories

38 The two ways Feynman diagrams appear in mathematics 2017-12-03T09:23:40.530

37 Enriched Categories: Ideals/Submodules and algebraic geometry 2011-09-26T18:24:59.690

34 Understanding the definition of the Lefschetz (pure effective) motive 2010-02-08T02:24:30.820

29 Resources for graphical languages / Penrose notation / Feynman diagrams / birdtracks? 2010-05-18T23:29:48.223

28 Tannakian Formalism 2009-10-30T16:00:09.630

20 Semiadditivity and dualizability of 2 2010-02-06T17:25:25.883

18 Do all 3D TQFTs come from Reshetikhin-Turaev? 2009-10-12T21:23:36.100

18 Does projective imply flat? 2015-06-30T16:15:31.290

18 What categorical property of monoidal categories picks out the ones with duals? 2015-12-06T06:45:09.730

17 Calculating 6j-symbols (aka Racah-Wigner coefficients) for quantum groups 2010-02-19T08:31:37.027

17 History and motivation for Tannaka, Krein, Grothendieck, Deligne et al. works on Tannaka-Krein theory? 2014-01-18T14:28:04.197

17 If a $\otimes$-idempotent object has a dual, must it be self-dual? 2017-08-04T21:27:19.017

16 Can one explain Tannaka-Krein duality for a finite-group to ... a computer ? (How to make input for reconstruction to be finite datum?) 2014-01-26T09:18:23.647

15 Is the category of smooth manifolds equivalent to the opposite category of the category of commutative monoids of some additive symmetric monoidal category? 2011-09-30T16:43:38.983

15 Free symmetric monoidal category on a monoidal category 2012-12-29T16:35:46.827

15 Are there small examples of non-pivotal finite tensor categories? 2013-06-05T21:30:46.293

15 Counterexample for associativity of smash product 2015-02-09T13:45:50.447

15 Specific cases of the tangle hypothesis in terms of "classical" n-categories 2015-10-14T03:57:28.660

14 What structure on a monoidal category would make its 2-category of module categories monoidal and braided? 2009-11-10T00:01:12.037

14 What is known about module categories over general monoidal categories? 2009-11-25T07:08:19.400

14 What non-monoidal functors on monoidal categories are used "in nature"? 2012-03-20T13:51:21.523

14 Associators, Grothendieck-Teichmüller group and monoidal categories 2014-01-02T21:49:13.203

13 Categorifying the Reals via von Neumann Algebras? 2009-10-21T02:46:02.543

13 How do I describe a fusion category given a subfactor? 2009-10-23T06:46:03.333

13 Recovering a monoidal category from its category of monoids 2009-10-29T19:34:30.273

13 The symmetric monoidal category of finite sets 2013-01-03T09:58:54.170

13 Are Lurie's operads special SMCs? 2013-03-26T20:50:46.513

13 Reference for "lax monoidal functors" = "monoids under Day convolution" 2013-05-14T18:02:09.217

13 Does every commutative variety of algebras have a cogenerator? 2014-02-08T21:19:19.433

13 Reference for an unbiased definition of a symmetric monoidal category 2015-05-29T17:16:09.250

13 Rectifying the definition of a closed category 2015-07-04T07:11:53.493

13 exponential functors on finite dimensional complex vector spaces 2017-04-28T23:29:39.603

13 String diagrams for bimonoidal categories (a.k.a. rig categories)? 2017-10-16T02:30:19.437

13 The Chu-construction and the Int-construction 2017-10-22T22:23:10.330

12 Are supervector spaces the representations of a Hopf algebra? 2009-11-08T15:26:51.513

12 Model Structure/Homotopy Pushouts in topological monoids? 2010-01-07T19:01:00.177

12 Alternative definition of monoidal categories 2010-11-28T15:55:21.270

12 Iterating monoid categories 2012-09-04T03:18:51.963

12 Cartesian envelope of a symmetric monoidal category 2013-06-02T14:18:50.153

12 Is there a finite test for isomorphisms of rigid monoidal abelian categories? 2016-02-03T22:13:08.483

12 Is there a categorical notion of reduced commutative algebras? 2016-11-09T12:33:00.050

11 Why is a monoid with closed symmetric monoidal module category commutative? 2010-02-09T21:13:01.950

11 Categorical interpretation of disjoint cycle notation for tracing permutations 2014-05-30T17:10:36.483

11 How are the Walker-Wang TQFT and the Crane-Yetter TQFT related? 2015-01-22T14:49:15.663

11 A cosmos where coproduct injections are not monic 2015-06-03T22:12:47.723

10 What is the universal enveloping algebra? 2010-05-17T15:23:30.690

10 Gamma spaces and monoidal categories 2011-09-29T12:35:35.937

10 Hovey's unit axiom in monoidal model categories 2012-01-10T12:54:04.723

10 Understanding the computation of the center of Tambara-Yamagami fusion categories when realized as C* categories 2014-05-20T00:09:14.487

10 Skeletal monoidal categories with strict units 2017-10-17T15:04:07.880

10 What do you call $C$ if $[D,C] = D^\vee \otimes C$ for all $D$? 2018-02-25T01:55:04.723

9 When do PROP-morphisms induce adjunctions? 2009-10-20T21:29:48.847

9 When does Tannakian theory work over affine schemes besides fields? 2009-10-28T20:03:12.930

9 Is there a meaningful difference between biased and unbiased composition? 2009-12-08T21:20:41.477

9 Effects of "weak" vs. "strict" categories in Eckmann-Hilton arguments 2010-02-11T03:55:31.160

9 180˚ vs 360˚ Twists in String Diagrams for Ribbon Categories 2010-06-14T17:31:48.550

9 Exterior powers in tensor categories 2011-07-18T10:02:39.667

9 Localization of a symmetric monoidal category at a single morphism 2012-04-02T21:36:42.873

9 Are pivotal categories the algebras for a cartesian monad? 2012-07-06T14:09:14.890

9 Saavedra's Definition of Tannakian Category 2012-09-13T14:30:15.073

9 Twisted duality in a symmetric monoidal category 2013-02-04T11:55:45.017

9 Reference for a generalization of Γ-spaces to monoidal model categories 2014-01-16T16:01:12.907

9 Enriching categories and equivalences 2015-10-09T22:38:08.320

9 t-structures on the tensor product of stable $\infty$-categories 2016-02-21T16:50:46.297

9 Modular Tensor Categories: Reasoning behind the axioms 2016-03-05T01:03:40.890

9 Grothendieck Construction, Categories of Operators and Opposites 2016-06-14T04:52:41.787

9 A cohomology theory for fusion categories 2017-08-11T10:12:03.847

8 Category of copresheaves over commutative monoids 2010-03-29T10:54:10.387

8 Skeleton of a braided monoidal category 2010-07-12T05:32:35.930

8 Gerbes and Z-graded symmetric monoidal categories 2011-01-01T03:38:30.767

8 Ends as a "cotrace" operation on profunctors 2011-08-13T08:26:41.027

8 String diagrams for (weak) monoidal categories 2012-08-08T17:02:58.040

8 What about schemes built up out of graded rings? 2013-03-14T01:00:22.010

8 Is "being a modular category" a universal or categorical/algebraic property? 2013-12-29T15:18:38.833

8 Why does a tetracategory with one object, one 1-morphism and one 2-morphism give a symmetric monoidal category 2014-12-24T14:40:47.363

8 Which Drinfeld centers are balanced monoidal, i.e. have a twist? 2016-09-01T11:15:03.923

8 Quotient-free monoidal categories 2017-01-01T23:24:29.870

8 Is there a model structure on (strict?) Monoidal Categories? 2017-01-16T11:24:36.570

8 What is this symmetric simplex category, concretely? 2017-03-18T19:12:08.947

8 Practice of higher categories - giving rigorous constructions 2017-05-29T23:05:21.330

8 Monoidal tensor product which preserves directed limits 2017-07-11T18:59:16.407

8 star-autonomous closed categories 2017-09-20T10:01:25.403

8 Uniqueness of dualizing objects 2017-10-30T18:03:01.580

8 Special $\Gamma$-categories and symmetric monoidal categories 2017-11-12T12:26:15.443

7 What's the right object to categorify a braided tensor category? 2009-11-09T01:28:21.863

7 Is there a relative version of Tannakian reconstruction? 2010-03-12T20:37:12.797

7 Is assigning the endomorphism object in some sense functorial? 2010-04-14T10:15:39.213

7 Tannakian description of a semi-direct product 2010-05-13T22:49:30.157

7 Is a weak monoidal category a monoid object in some category? 2010-05-28T22:31:57.050

7 From tensor algebras in monoidal categories to (commutative?) monoids 2010-08-09T08:18:41.017

7 What is the free monoidal category generated by a monoid? 2012-12-05T17:00:20.123

7 Monoidal transformations are isomorphisms at dualizable objects 2013-09-12T23:37:19.577

7 How to construct a free 2-group on a groupoid? 2014-07-10T11:09:10.960

7 What are TQFTs that are multiplicative under connected sums? Do bordisms with connected sum as monoidal product exist? 2014-08-25T14:04:40.927

7 When is Rep(U_q(g)) invariant under q -> -q and why? 2014-09-04T18:50:52.597

7 Category of modules over commutative monoid in symmetric monoidal category 2014-09-11T23:07:47.257

7 Does an equivalence of fusion categories depend on choice of simple objects within isomorphism classes? 2014-09-16T23:07:53.780

7 Image, kernel, quotient and first isomorphism theorem, in a category of monoid objects 2014-11-02T21:49:17.423

7 In a closed monoidal abelian category, are the compact projectives a monoidal subcategory? 2015-02-14T18:36:35.670