The automorphism group of the quantum grassmannian

DOI10.1112/blms.12994arXiv2301.06865OpenAlexW4392110949MaRDI QIDQ6203664

Thomas H. Lenagan, Stephane Launois

Publication date: 6 April 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06865

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Automorphisms and endomorphisms (16W20) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• Prime ideals in the quantum Grassmannian.
• A quantum analogue of the dihedral action on Grassmannians.
• Minor identities for quasi-determinants and quantum determinants
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• Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture
• Primitive ideals and automorphisms of quantum matrices.
• Primitive ideals in quantum 𝑆𝐿₃ and 𝐺𝐿₃
• Unipotent and Nakayama automorphisms of quantum nilpotent algebras
• Non-commutative unique factorization domains
• Cyclic orders on the quantum grassmannian
• QUANTUM UNIQUE FACTORISATION DOMAINS
• PRIMITIVE IDEALS AND AUTOMORPHISM GROUP OF $U_{q}^{+}(B_{2})$
• Derivations et automorphismes de quelques algebras quantiques
• RING THEORETIC PROPERTIES OF QUANTUM GRASSMANNIANS
• AUTOMORPHISMS OF QUANTUM MATRICES
• Total Positivity is a Quantum Phenomenon: The Grassmannian Case

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