The Division Ring of Quotients of the Coordinate Ring of the Quantum General Linear Group

DOI10.1112/jlms/51.3.503zbMath0835.16013OpenAlexW2332319559MaRDI QIDQ4844764

Gerald H. Cliff

Publication date: 4 February 1996

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

Full work available at URL: https://doi.org/10.1112/jlms/51.3.503

zbMATH Keywords

quantum matricesminorscoordinate ringsiterated Ore extensions\(q\)-determinantsSchur indexquantum general linear groupsdivision ring of right quotients

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Linear algebraic groups over arbitrary fields (20G15) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ordinary and skew polynomial rings and semigroup rings (16S36) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Finite-dimensional division rings (16K20) Other matrix groups over fields (20H20)

Related Items (4)

Actions of quantum linear spaces on quantum algebras ⋮ PI degree parity in \(q\)-skew polynomial rings. ⋮ Tetrahedron equation, Weyl group, and quantum dilogarithm ⋮ Desargues maps and the Hirota–Miwa equation

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