quantum-frobenius-canonical-basis

Quantum Frobenius morphism compatibility analysis with canonical bases. Covers imaginary vectors, tight monomial cones, and canonical basis incompatibility for finite-dimensional simple Lie algebras. Triggers: quantum Frobenius, canonical basis, imaginary vectors, tight monomial cone, Lie algebra, Leclerc vectors, quantum group, representation theory.

Jump to install

Repository: hiyenwong/ai_collection
Last source activity: July 10, 2026 at 10:08
Detected SKILL.md language: English
Stars: 2
Forks: 0

Install options

The review-first prompt is selected by default. You can switch to a direct command or download a local copy.

Install with Codex or Claude Copy this prompt, paste it into Codex, Claude, or another assistant, and let it review the skill page and install it for you.

A direct command skips the review prompt. Inspect the source before running it.

npx skills add https://github.com/hiyenwong/ai_collection --skill quantum-frobenius-canonical-basis

The command stays on one line. Scroll horizontally to inspect it before copying.

Prefer a local copy? Download the files currently available to SkillsMP.

Review the source files

Read SKILL.md and any companion files shown by SkillsMP before deciding whether to install.

SKILL.md

Source instructions · Read-only preview

Back to search Back to installation

graphidyom-musical-expectation-modeling

Graph-native Python reimplementation of the Information Dynamics of Music (IDyOM) model that represents predictive memories as explicit graph objects for musical expectation modeling and network analysis.

2026-07-29

physics-aware-quadcopter-drl-control

Physics-aware end-to-end deep reinforcement learning methodology for quadcopter control with actuator dynamics modeling.

2026-07-29

reinformed-dreamer-asymmetric-world-model

Reinforced Dreamer methodology for asymmetric reinforcement learning using latent guidance to improve world model representations and behaviors in model-based RL.

2026-07-29

View all from this repository

name	quantum-frobenius-canonical-basis
description	Quantum Frobenius morphism compatibility analysis with canonical bases. Covers imaginary vectors, tight monomial cones, and canonical basis incompatibility for finite-dimensional simple Lie algebras. Triggers: quantum Frobenius, canonical basis, imaginary vectors, tight monomial cone, Lie algebra, Leclerc vectors, quantum group, representation theory.
category	quantum-math

Quantum Frobenius Morphism and Canonical Basis Compatibility

Core Result

The quantum Frobenius morphism and its splitting are NOT fully compatible with the canonical basis for any finite-dimensional simple Lie algebra when rank is sufficiently large.

Key Connections

Incompatibility location: Same place where Leclerc found his imaginary vectors
Monomial cone issue: Monomials in the tight monomial cone which do NOT belong to the canonical basis
Rank dependence: Incompatibility emerges at sufficiently high rank

Applications

Analyzing canonical basis stability under quantum Frobenius morphism
Understanding tight monomial cone structure
Identifying imaginary vectors in quantum group representations

quantum-frobenius-canonical-basis

Source facts

Install options

Review the source files

More from this repository

More from this repository

Quantum Frobenius Morphism and Canonical Basis Compatibility

Core Result

Key Connections

Applications

Quantum Frobenius Morphism and Canonical Basis Compatibility

Core Result

Key Connections

Applications