Primitive and Poisson spectra of single-eigenvalue twists of polynomial algebras.

DOI10.1007/s10468-006-9008-3zbMath1111.16028OpenAlexW1981821873MaRDI QIDQ865025

M. Katherine Brandl

Publication date: 13 February 2007

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-006-9008-3

zbMATH Keywords

Poisson manifoldsPoisson structuresprimitive idealssymplectic leavesdeformations of algebrasprimitive spectratwisted homogeneous coordinate ringscomplex polynomial rings

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Ordinary and skew polynomial rings and semigroup rings (16S36) Deformations of associative rings (16S80) Derivations, actions of Lie algebras (16W25) Graded rings and modules (associative rings and algebras) (16W50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25)

Cites Work

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• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Primitive ideals of \(\mathbb{C}_ q[SL(n)\)]
• On the prime and primitive spectra of the algebra of functions on a quantum group
• Primitive and Poisson spectra of twists of polynomial rings
• Twisted Graded Algebras and Equivalences of Graded Categories

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