API reference

Everything listed here is importable from the top-level package, for example from quantum_group import qybe_holds; the pages are grouped by the module that defines each object. The paper's Appendix A gives the same interface in condensed form.

Naming follows one pattern: a *_residual function returns the exact SymPy difference matrix of an identity, and its *_holds companion returns whether every entry of that residual simplifies to zero.

Module	Contents
quantum_group_sl2	QuantumGroupSL2, a facade over the U_q(sl_2) functions
generators, relations	Symbolic generators and the defining relations as residual checks
representations	The modules V_n: matrices of E, F, K, K_inv, weights
hopf	Coproduct, counit, antipode and generator-level Hopf identities
tensor	Tensor products and Clebsch–Gordan highest-weight vectors
r_matrix	The R-matrix on V_1 ⊗ V_1: QYBE, braid, Hecke, intertwining
supergroup_gl21	The graded GL_q(2|1) R-matrix and its placements on V^{⊗n}
limits	Classical limits and root-of-unity substitutions
crystal, visualization	The crystal graph B(n) and weight/crystal plots
utils, linalg	q-integers, factorials, binomials; Kronecker and zero tests