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math.QA2007
The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight
Stefan Kolb
It is shown that quantum homogeneous coordinate rings of generalised flag manifolds corresponding to minuscule weights, their Schubert varieties, big cells, and determinantal varie…
math.QA2003
De Rham Complex for Quantized Irreducible Flag Manifolds
I. Heckenberger, S. Kolb
It is shown that quantized irreducible flag manifolds possess a canonical -analogue of the de Rham complex. Generalizing the well known situation for the standard Podleś' quantu…
math.QA2002
Podleś' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus
I. Heckenberger, S. Kolb
The dual coalgebra of Podleś' quantum sphere O_q(S^2_c) is determined explicitly. This result is used to classify all finite dimensional covariant first order differential calculi…