Abstract
We study the topology of the prime spectrum of an algebra supporting a rational torus action. More precisely, we study inclusions between prime ideals that are torus-invariant using the -stratification theory of Goodearl and Letzter on the one hand, and the theory of deleting derivations of Cauchon on the other. We also give a formula for the dimensions of the -strata described by Goodearl and Letzter. We apply the results obtained to the algebra of generic quantum matrices to show that the dimensions of the -strata are bounded above by the minimum of and , and that all values between and this bound are achieved.
Citation
Jason Bell. Stéphane Launois. "On the dimension of $H$-strata in quantum algebras." Algebra Number Theory 4 (2) 175 - 200, 2010. https://doi.org/10.2140/ant.2010.4.175
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