Quantum polynomial algebras

DOI10.1007/BF02355445zbMath0927.16020MaRDI QIDQ1288047

Vyacheslav A. Artamonov

Publication date: 10 May 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

crossed productsendomorphismsskew fields of fractionsprojective modulesquantum field theoryderivationsKrull dimensionquantum polynomial algebrascancellation theorems

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Free, projective, and flat modules and ideals in associative algebras (16D40) Twisted and skew group rings, crossed products (16S35)

Related Items (8)

Membership Deformation of Commutativity and Obscure n-ary Algebras ⋮ The coalgebra automorphism group of Hopf algebra \(k_q[x,x^{-1},y\).] ⋮ MODULES OVER QUANTUM LAURENT POLYNOMIALS ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ A class of semisimple Hopf algebras acting on quantum polynomial algebras ⋮ On projective modules over quantum polynomials ⋮ Automorphisms for SkewPBWExtensions and Skew Quantum Polynomial Rings ⋮ On deformations of $A_\infty$ -algebras

Cites Work

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• A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
• Serre's conjecture
• On projective modules over quantum polynomials
• On the field of fractions of certain quantum algebras
• Projective modules over crossed products
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• On the Stable Range of Right Noetherian Rings
• Krull and Global Dimensions of Semiprime Noetherian PI-Rings
• Derivations et automorphismes de quelques algebras quantiques
• Higher algebraic K-theory: I
• Module Structure of Weyl Algebras
• Equivalent crossed products for a hopf algebra
• Separation of Variables for Quantized Enveloping Algebras
• Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes
• Quantum linear groups

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