Matrix-element bialgebras determined by quadratic coordinate algebras

DOI10.1006/jabr.1993.1137zbMath0791.17015OpenAlexW1974994993MaRDI QIDQ1310412

Anthony Sudbery

Publication date: 3 January 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1137

zbMATH Keywords

Hopf algebrasquantum groupsantipodequantum deformationspolynomiality\(N\)-parameter deformation of \(GL(n)\)two-dimensional coordinate algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (11)

Koszul property and Poincaré series of matrix bialgebras of type \(A_ n\) ⋮ Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) ⋮ The isolated quantum group of the \(\mathrm{GL}_2\) family ⋮ Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians ⋮ Poincaré series of quantum matrix bialgebras determined by a pair of quantum spaces ⋮ Centralizer coalgebras, FRT-construction, and symplectic monoids ⋮ A Poincaré–Birkhoff–Witt theorem for generalized Lie color algebras ⋮ Graded Poisson-Lie structures on general linear groups ⋮ On the structure of quantum super groups \(\text{GL}_q(m|n)\) ⋮ Quantum group constructions in a symmetric monoidal category ⋮ Realizations of quantum hom-spaces, invariant theory, and quantum determinantal ideals

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