/**
 * Intertwiner Basis Construction
 *
 * This module constructs orthonormal basis states for intertwiner spaces using
 * Clebsch-Gordan coefficients and the StateVector framework. It handles the
 * coupling of angular momentum at spin network nodes.
 */
import { IntertwinerBasisState, IntertwinerSpace } from './types';
/**
 * Construct complete orthonormal basis for intertwiner space
 *
 * @param edgeSpins Array of angular momentum quantum numbers for node edges
 * @returns Complete intertwiner space with orthonormal basis
 * @throws Error if edge spins are invalid or unsupported valence
 */
export declare function constructBasis(edgeSpins: number[]): IntertwinerSpace;
/**
 * Construct single basis vector for 4-valent node with given intermediate coupling
 *
 * @param j1 First edge angular momentum
 * @param j2 Second edge angular momentum
 * @param j3 Third edge angular momentum
 * @param j4 Fourth edge angular momentum
 * @param intermediateJ Intermediate angular momentum coupling
 * @returns Basis state or null if coupling is invalid
 */
export declare function constructBasisVector(j1: number, j2: number, j3: number, j4: number, intermediateJ: number): IntertwinerBasisState | null;
/**
 * Optimized basis for four spin-1/2 edges (2-dimensional space)
 *
 * @returns Complete intertwiner space for four spin-1/2 edges
 */
export declare function getFourSpinHalfBasis(): IntertwinerSpace;