2 citations · 3 across the 8 of their papers we have counts for
13 papers
Quantum unique factorisation domains
S Launois, T H Lenagan, L Rigal
We prove a general theorem showing that iterated skew polynomial extensions of the type which fit the conditions needed by Cauchon's deleting derivations theory and by the Goodearl…
Quantized trace rings
M. Domokos, T. H. Lenagan
The general linear group acts on -tuples of matrices by simultaneous conjugation. Quantum deformations of the corresponding rings of invariants and the so-called tra…
Quantum graded algebras with a straightening law and the AS-Cohen-Macaulay property for quantum determinantal rings and quantum grassmannians
T H Lenagan, L Rigal
We study quantum analogues of quotient varieties, namely quantum grassmannians and quantum determinantal rings, from the point of view of regularity conditions. More precisely, we…
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…
Quantized coinvariants at transcendental q
K R Goodearl, T H Lenagan
A general method is developed for deriving Quantum First and Second Fundamental Theorems of Coinvariant Theory from classical analogs in Invariant Theory, in the case that the quan…