2001/05/16 by A. N. Panov, Panov, A. N.
Mathematics · #16W35 #17B37 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W35 #msc:17B37
paper · pdf · doi:10.48550/arxiv.math/0105131
Latex, 22p
arxiv created 2001/05/16 · arxiv updated 2009/11/30
A quantum solvable algebra is an iterated q-skew extension of a commutative algebra. We get finite statification of prime spectrum for quantum solvable algebras obeying some natural conditions. We prove that for any prime ideal I the skew field of fractions Fract(R/I) is isomorphic to the skew field of fractions of an algebra of twisted polynomials (Quantum Gel'fand-Kirillov Conjecture).