TensorKit.jl Tensors with symmetries, a hint of category theory docs	TensorOperations.jl Tensor contractions with the @tensor macro docs	MatrixAlgebraKit.jl Extensible matrix factorizations docs
MPSKit.jl Matrix product state algorithms docs	PEPSKit.jl Projected entangled pair state algorithms docs	TNRKit.jl Tensor network renormalization docs

All packages

Tensor Network Algorithms

Package	Description
MPSKit.jl	Simulating quantum many-body systems using Matrix Product States
PEPSKit.jl	Algorithms for Projected Entangled Pair States
TNRKit.jl	Algorithms for Tensor Network Renormalisation
MPSKitModels.jl	Pre-built models for MPSKit.jl

Tensor Foundations

Package	Description
TensorKit.jl	Large-scale tensor computations, with a hint of category theory
VectorInterface.jl	A Julia interface for working with vector-like objects
StridedViews.jl & Strided.jl	Representing strided views into dense arrays and efficient operations on them
TensorOperations.jl	Tensor contractions and related operations
MatrixAlgebraKit.jl	Extensible matrix algebra primitives
SparseArrayKit.jl	Sparse multidimensional arrays (DOK format) with TensorOperations.jl support
BlockTensorKit.jl	TensorKit extension for working with block(sparse) TensorMaps

Symmetries & Categories

Package	Description
TensorKitSectors.jl	Objects in fusion categories
SUNRepresentations.jl	SU(N) Clebsch-Gordan coefficients
CategoryData.jl	Reading in categorical data for TensorKit
WignerSymbols.jl	Wigner symbols and related quantities
QWignerSymbols.jl	q-deformed Wigner symbols and related quantities

Extensions & Utilities

Package	Description
TensorKitManifolds.jl	Tools for isometric and unitary tensor manifolds
TensorKitTensors.jl	A collection of specific TensorMaps for TensorKit.jl
MultiTensorKit.jl	Multi-tensor extensions for TensorKit.jl
TBLIS.jl	Julia wrapper for the TBLIS tensor contraction library
TensorOperationsTBLIS.jl	TBLIS backend for TensorOperations.jl
TensorOperationsHPTT.jl	HPTT (High-Performance Tensor Transpose) backend for TensorOperations.jl
QuasiStrided.jl	Native-Julia dense tensor contraction engine, available as a TensorOperations.jl backend

General-Purpose Tools

Package	Description
MemoizationKit.jl	Memoization with bounded memory, persistent disk caching, and a live terminal dashboard
AlgorithmsInterface.jl	A small, composable interface for iterative algorithms

Contributions are welcome across all packages: please open an issue or pull request on the relevant repository.