Local structure of Schelter-Procesi smooth orders

DOI10.1090/S0002-9947-00-02567-8zbMath0957.16009OpenAlexW1551934508MaRDI QIDQ4501127

Lieven Le Bruyn

Publication date: 3 September 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02567-8

zbMATH Keywords

function fieldsrings of invariantscentral simple algebrasirreducible latticescoordinate ringsnormal varietiesreduced tracesCayley-Hamilton algebrassmooth ordersétale local classes

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (8)

Qurves and quivers ⋮ Polynomial identity rings as rings of functions. ⋮ The finite dual coalgebra as a quantization of the maximal spectrum ⋮ The flat locus of Brauer-Severi fibrations of smooth orders. ⋮ Quiver quotient varieties and complete intersections. ⋮ SMOOTH ORDER SINGULARITIES ⋮ The Local Structure of Graded Representations ⋮ Noncommutative smoothness and coadjoint orbits.

Cites Work

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• Smooth algebras
• A formal inverse to the Cayley-Hamilton theorem
• Generic local structure of the morphisms in commutative algebra
• Semisimple Representations of Quivers
• Algebra Extensions and Nonsingularity
• Cyclic Homology and Nonsingularity

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