Representation rings of quantum groups.

DOI10.1016/j.jalgebra.2004.08.006zbMath1081.16047arXivmath/0308289OpenAlexW2079046610MaRDI QIDQ1888805

Matyas Domokos, Thomas H. Lenagan

Publication date: 29 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0308289

zbMATH Keywords

relationsgeneratorsclassical groupsalgebras of coinvariantsquantized enveloping algebrasquantized function algebrasquantized coordinate algebrasquantum tracesalgebras of cocommutative elementsFRT-bialgebras

Mathematics Subject Classification ID

Related Items (6)

Algebraic properties of Manin matrices. I ⋮ Cocommutative elements form a maximal commutative subalgebra in quantum matrices ⋮ On the conjugation action for quantum general linear groups ⋮ A CRITERION FOR THE JACOBSON SEMISIMPLICITY OF THE GREEN RING OF A FINITE TENSOR CATEGORY ⋮ Green rings of pointed rank one Hopf algebras of nilpotent type. ⋮ Poisson Centralizer of the Trace

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matric bialgebras and quantum groups
• A class of bicovariant differential calculi on Hopf algebras
• On a theorem of Pittie
• The invariant theory of \(n\times n\) matrices
• Deformation of certain quadratic algebras and the corresponding quantum semigroups
• The quantum Cayley-Hamilton theorem
• Quantum deformation of classical groups
• Hecke symmetries and characteristic relations on reflection equation algebras
• Orbits for the adjoint coaction on quantum matrices
• Weakly multiplicative coactions of quantized function algebras.
• Generalized Cayley-Hamilton-Newton identities
• Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\)
• Invariant theory of special orthogonal groups
• Algebraic invariants for a set of matrices
• Quantum line bundles via Cayley-Hamilton identity
• Algebraic structures related to reflection equations
• CONJUGATION COINVARIANTS OF QUANTUM MATRICES

This page was built for publication: Representation rings of quantum groups.