The Verlinde formula writes the fusion coefficient in terms of S matrix. My question is that for fusion category without braiding, is there a similar formula which gives the fusion coefficient in terms of F symbols?
2026-03-25 17:26:32.1774459592
the Verlinde formula
66 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CATEGORY-THEORY
- (From Awodey)$\sf C \cong D$ be equivalent categories then $\sf C$ has binary products if and only if $\sf D$ does.
- Continuous functor for a Grothendieck topology
- Showing that initial object is also terminal in preadditive category
- Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?
- What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?
- Please explain Mac Lane notation on page 48
- How do you prove that category of representations of $G_m$ is equivalent to the category of finite dimensional graded vector spaces?
- Terminal object for Prin(X,G) (principal $G$-bundles)
- Show that a functor which preserves colimits has a right adjoint
- Show that a certain functor preserves colimits and finite limits by verifying it on the stalks of sheaves
Related Questions in ABELIAN-CATEGORIES
- What is the monomorphism that forms the homology group?
- Injective objects in a category
- Category of complexes
- Snake lemma and regular epi mono factorization
- A question to Weibel’s IHA lemma 2.6.14 Part 2
- Why do the finitely generated subsheaves of a sheaf form a directed system?
- Supremum of a family of subobjects in an abelian category
- Opposite effective classes in a Grothendieck group
- Question about $\mbox{Ext}$ groups in abelian categories
- How to show that $\mathsf{Ab}$(Category of Abelian Groups) is an abelian category?
Related Questions in MONOIDAL-CATEGORIES
- Lax/colax monoidal adjunction in terms of unit and counit
- How to represent convolution matrix as a string diagram?
- Free monoidal category over a set II
- Are there "distributive bicategories"?
- Showing that naturality of this transformation follows from dinaturality of elements.
- Understanding The Equations Behind Dual Objects In Monoidal Categories
- Let $(C, \otimes, \alpha, 1, l, r)$ be a monoidal category. Show that $l_{1 \otimes A} = id_1 \otimes l_A$ and $r_{A \otimes 1} = r_A \otimes id_1$.
- Show that the unit object in a monoidal category is unique up to isomorphism.
- About the internal hom in a symmetric monoidal closed category
- Question concerning functors which are equivalences
Related Questions in HIGHER-CATEGORY-THEORY
- Quillen equivalence between sSet (Joyal's model structure) and sSetCat (Bergner's one)
- What is an intuitive Geometrical explanation of a "sheaf?"
- $\infty$-categories definition disambiguation
- Applications of $\infty$-categories
- Simplicial categories and simplicial objectcs. HTT Remark 1.1.4.2
- $n$-categories and associahedrons.
- Weak notion of equivalence in a category
- The $2$-category of monoids
- Higher homotopy groups in terms of the fundamental groupoid
- Pseudolimits equivalent to limits
Related Questions in MODEL-CATEGORIES
- Why do $S^1 \wedge - $ and $Maps(S^1,-)$ form a Quillen adjunction?
- In what sense are (co)fibrant replacements "better"?
- A fibration $p : E \rightarrow X$ is trivial iff $p$ is a homotopy equivalence
- Quillen equivalence between sSet (Joyal's model structure) and sSetCat (Bergner's one)
- Definiton of the beta in Lurie's HTT
- The choice of cofibrant approximation is contractible
- Do Homotopy limits commute with right Quillen functors
- The cofibration from the $\textbf{Top}$'s model category
- Necessary conditions for a Reedy fibrant diagram
- How far are functors valued in Ho(Cat) from pseudofunctors?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?