Quantum polynomial algebras
Copyright policy )Quantum polynomial algebras
In this survey of quantum polynomial algebras, the author describes (after giving the basic definitions) the relation with crossed products and their endomorphisms and derivations. Relations with quantum field theory are briefly dealt with, and skew fields of fractions and the Krull dimension are studied. In a study of projective modules various cancellation theorems are proved, as well as analogues of the theorems of Quillen-Suslin and of Horrocks.
crossed products, projective modules, quantum polynomial algebras, skew fields of fractions, Free, projective, and flat modules and ideals in associative algebras, derivations, Quantum groups (quantized enveloping algebras) and related deformations, Twisted and skew group rings, crossed products, cancellation theorems, endomorphisms, quantum field theory, Ring-theoretic aspects of quantum groups, Krull dimension
crossed products, projective modules, quantum polynomial algebras, skew fields of fractions, Free, projective, and flat modules and ideals in associative algebras, derivations, Quantum groups (quantized enveloping algebras) and related deformations, Twisted and skew group rings, crossed products, cancellation theorems, endomorphisms, quantum field theory, Ring-theoretic aspects of quantum groups, Krull dimension
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