32 citations · 111 across the 44 of their papers we have counts for
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A quantum homogeneous space of nilpotent matrices
M. Domokos
A quantum deformation of the adjoint action of the special linear group on the variety of nilpotent matrices is introduced. New non-embedded quantum homogeneous spaces are obtained…
Representation rings of quantum groups
M. Domokos, T. H. Lenagan
Generators and relations are given for the subalgebra of cocommutative elements in the quantized coordinate rings of the classical groups, where the deformation parameter q is tran…
The traces of quantum powers commute
M Domokos, T H Lenagan
The traces of the quantum powers of a generic quantum matrix pairwise commute. This was conjectured by Kaoru Ikeda, in connection with certain Hamiltonian systems. The proof involv…
Weakly multiplicative coactions of quantized function algebras
M Domokos, T H Lenagan
A condition is identified which guarantees that the coinvariants of a coaction of a Hopf algebra on an algebra form a subalgebra, even though the coaction may fail to be an algebra…
Orbits for the adjoint coaction on quantum matrices
M. Domokos, R. Fioresi, T. H. Lenagan
Conjugation coactions of the quantum general linear group on the algebra of quantum matrices have been introduced in an earlier paper and the coinvariants have been determined. In…