Actions of Pointed Hopf Algebras on Quantum Torus

DOI10.1007/BF02824822zbMath1184.16036OpenAlexW84786751MaRDI QIDQ5293142

Vyacheslav A. Artamonov

Publication date: 26 June 2007

Published in: ANNALI DELL UNIVERSITA DI FERRARA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02824822

zbMATH Keywords

automorphismsfinite dimensional Hopf algebrasgeneralized derivationsquantum toriquantum polynomial algebrascoordinate algebrasquantum affine spacescoactions on polynomial algebrasgeneric algebras of quantum polynomials

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Smash products of general Hopf actions (16S40) Ring-theoretic aspects of quantum groups (16T20)

Related Items

Pointed Hopf actions on central simple division algebras, The coalgebra automorphism group of Hopf algebra \(k_q[x,x^{-1},y\).], The non-toric \(U_q(sl_2)\)-symmetries on quantum polynomial algebra \(k_q[x^{\pm 1},y\)], Noetherian algebras of quantum differential operators.

Cites Work

• Lectures on algebraic quantum groups
• Pointed Hopf algebras acting on quantum polynomials
• The actions of quantum groups on quantum spaces.
• Generalized derivations of a quantum plane.
• Automorphisms of the skew field of rational quantum functions
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Derivations et automorphismes de quelques algebras quantiques
• SUR LES ENDOMORPHISMES DES TORES QUANTIQUES
• Derivations of skew polynomial rings
• Homological properties of quantum polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item