26 citations · 81 across the 15 of their papers we have counts for
15 papers
Generalised quantum determinantal rings are maximal orders
T H Lenagan, L Rigal
Generalised quantum determinantal rings are the analogue in quantum matrices of Schubert varieties. Maximal orders are the noncommutative version of integrally closed rings. In thi…
Weight modules of quantized Weyl algebras
Vyacheslav Futorny, Laurent Rigal, Andrea Solotar
We develop a general framework for studying relative weight representations for certain pairs consisting of an associative algebra and a commutative subalgebra. Using these tools w…
Quantum analogues of Richardson varieties in the grassmannian and their toric degeneration
Laurent Rigal, Pablo Zadunaisky
In the present paper, we are interested in natural quantum analogues of Richardson varieties in the type A grassmannians. To be more precise, the objects that we investigate are qu…
Prime ideals in the quantum grassmannian
S Launois, T H Lenagan, L Rigal
We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes…
Quantum analogues of Schubert varieties in the grassmannian
T H Lenagan, L Rigal
We study quantum Schubert varieties from the point of view of regularity conditions. More precisely, we show that these rings are domains which are maximal orders and are AS-Cohen-…
Magnetophonon resonance in high density, high mobility quantum well systems
C. Faugeras, D. K. Maude, G. Martinez +5
We have investigated the magnetophonon resonance (MPR) effect in a series of single GaAs quantum well samples which are symmetrically modulation doped in the adjacent short period…