The authors prove GK-dimension lower bounds (n or n-1) for modules over Horton's multiparameter quantum algebras K_{n,Γ}^{P,Q}(K) and compute dimensions of their localized quantum tori.
The dimension of the quantum torus /u1D49E/u1D45Bthat arises as a further localization of/u1D43E/u1D45Bwill be used in our proof of the Bernstein-type inequality for/u1D43E/u1D45B
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Bernstein-type inequalities for quantum algebras
The authors prove GK-dimension lower bounds (n or n-1) for modules over Horton's multiparameter quantum algebras K_{n,Γ}^{P,Q}(K) and compute dimensions of their localized quantum tori.