Crate micro_cartan_attn 

Micro Cartan Attention - Mathematical Cartan matrix system

This crate provides complete Cartan matrix-based attention mechanisms with proper Lie algebra structures, root systems, and mathematical constraints.

Mathematical Background

Cartan matrices encode the geometric structure of Lie algebras through their root systems. This implementation supports:

• Classical Cartan matrix types: A_n, B_n, C_n, D_n
• Exceptional types: E_6, E_7, E_8, F_4, G_2 (partial)
• Killing form calculations
• Root system computations
• Orthogonalization with Cartan constraints
• Regularization: L = λ‖C_actual - C_target‖²

Re-exports

pub use cartan::*;

pub use orthogonalization::*;

pub use regularization::*;

pub use attention::*;

pub use real_attention::*;

Modules

attention

Cartan matrix-based attention mechanisms

cartan

Complete Cartan matrix implementation with proper Lie algebra structures

orthogonalization

Orthogonalization methods with Cartan matrix constraints

real_attention

Real scaled dot-product attention implementation

regularization

Complete Cartan regularization system with mathematical correctness

Structs

RootVector

Simple 32D vector type for root vectors

Enums

Error

Error types for the Cartan system

Constants

ROOT_DIM

32-dimensional root space constant

VERSION

Version information

Functions

exp_f32

max_f32

powf_f32

sqrt_f32

Type Aliases

Result

Result type for Cartan operations