Quadratic forms, division algebras and inseparable multiquadratic extensions. (Formes quadratiques, algèbres à division et extensions multiquadratiques inséparables.)
Quadratic pairs in characteristic 2 and the Witt cancellation theorem.
Quantization of canonical cones of algebraic curves
We introduce a quantization of the graded algebra of functions on the canonical cone of an algebraic curve , based on the theory of formal pseudodifferential operators. When is a complex curve with Poincaré uniformization, we propose another, equivalent construction, based on the work of Cohen-Manin-Zagier on Rankin-Cohen brackets. We give a presentation of the quantum algebra when is a rational curve, and discuss the problem of constructing algebraically “differential liftings”.
Quantization of the Marsden-Weinstein reduction for extended Dynkin quivers
Quantizations of braided derivations. I: Monoidal categories.
Quantizations of braided derivations. II: Graded modules.
Quantizations of braided derivations. III: Modules with action by a group.
Quantum idempotence, distributivity, and the Yang-Baxter equation
Quantum quasigroups and loops are self-dual objects that provide a general framework for the nonassociative extension of quantum group techniques. They also have one-sided analogues, which are not self-dual. In this paper, natural quantum versions of idempotence and distributivity are specified for these and related structures. Quantum distributive structures furnish solutions to the quantum Yang-Baxter equation.
Quantum Independent Increment Processes on Superalgebras.
Quantum integrable 1D anyonic models: construction through braided Yang-Baxter equation.
Quantum sections and Gauge algebras.
Using quantum sections of filtered rings and the associated Rees rings one can lift the scheme structure on Proj of the associated graded ring to the Proj of the Rees ring. The algebras of interest here are positively filtered rings having a non-commutative regular quadratic algebra for the associated graded ring; these are the so-called gauge algebras obtaining their name from special examples appearing in E. Witten's gauge theories. The paper surveys basic definitions and properties but concentrates...
Quasi-Frobenius modules.
Quasi-Frobenius-Algebren und lokal vollständige Durchschnitte.
Quasi-hereditary algebras with a duality.
Quasi-Hereditary Orders.
Quasimodules generated by three elements
Quasi-projective modules and the finite exchange property.
Quasi-radicals and Radicals in Categories
Quasiregular rings
Quasitilted algebras have preprojective components
We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.