REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS

DOI10.1142/S0219498809003564zbMath1188.16022arXiv0708.3923OpenAlexW2964260779MaRDI QIDQ3649490

Nongkhran Sasom, David A. Jordan

Publication date: 4 December 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3923

zbMATH Keywords

rings of invariantsskew Laurent polynomial ringsdeformations of Poisson algebrasPoisson automorphisms

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Deformations of associative rings (16S80) Poisson algebras (17B63)

Related Items (4)

Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Unnamed Item ⋮ ORE EXTENSIONS AND POISSON ALGEBRAS ⋮ Poisson double extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Down-up algebras
• Quantization of quadratic Poisson brackets on a polynomial algebra of three variables
• Down-up algebras and ambiskew polynomial rings
• Multiplicative invariant theory
• Reversible interval homeomorphisms
• Poisson (co)homology and isolated singularities
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
• Noncommutative curves and noncommutative surfaces
• On the classification of irreducible finite-dimensional representations of Uq′(so3) algebra
• Quantum deformations of SU(2)
• NORMAL ELEMENTS OF DEGREE ONE IN ORE EXTENSIONS
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• Representations of the cyclically symmetric q-deformed algebra soq(3)
• The 2 × 2 quantum matrix weyl algebra
• Reversible Complex Hénon Maps

This page was built for publication: REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS