Results 1 to 10 of about 329 (159)
Hopf algebras in noncommutative geometry [PDF]
Geometric and Topological Methods for Quantum Field Theory, 2001 Latex2e, 76 pages, lecture notes for the CIMPA Summer School in Villa de Leyva, Colombia, July 2001; minor corrections, 3 references ...
Joseph C. Várilly
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On a noncommutative algebraic geometry [PDF]
Banach Center Publications, 2015 Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, addition and (non commutative) multiplication, on open sets of H, then Hamil-ton 4-manifolds analogous to Riemann surfaces, for H instead of C, are defined, and so begin to describe a class of four dimensional manifolds.
Pierre Dolbeault
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Geometry of noncommutative algebras [PDF]
Banach Center Publications, 2011 Let X be a scheme over an algebraically closed field k, and let x ∈ SpecR ⊆ X be a closed point corresponding to the maximal ideal m ⊆ R. Then OˆX,x is isomorphic to the prorepresenting hull, or local formal moduli, of the deformation functor DefR/m : → Sets. This suffices to reconstruct X up to etal´e coverings.
Eivind Eriksen, Arvid Siqveland
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Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori [PDF]
, 2006 The first part of these notes gives an introduction to noncommutative projective geometry after Artin--Zhang. The second part provides an overview of the work of Polishchuk that reconciles noncommutative two-tori having real multiplication with the Artin--Zhang setting.
Snigdhayan Mahanta
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Noncommutative algebraic geometry
Revista Matemática Iberoamericana, 2003 The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure.
Olav Arnfinn Laudal
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Noncommutative Algebra and Noncommutative Geometry [PDF]
, 2014 Divided into three parts, the first marks out enormous geometric issues with the notion of quasi-freenss of an algebra and seeks to replace this notion of formal smoothness with an approximation by means of a minimal unital commutative algebra's smoothness. The second part of this text is then, devoted to the approximating of properties of nc.
Anastasis Kratsios
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Aspects of noncommutative geometry of Bunce–Deddens algebras
Journal of Noncommutative Geometry, 2023 We define and study smooth subalgebras of Bunce–Deddens C^∗ -algebras. We discuss various aspects of noncommutative geometry of Bunce–Deddens algebras including derivations on smooth subalgebras, as well as
Sławomir Klimek +2 more
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Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
Tomasz Brzeziński
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Necklace Lie algebras and noncommutative symplectic geometry [PDF]
Mathematische Zeitschrift, 2002 Recently V. Ginzburg proved that Calogero phase space is a coadjoint orbit for some infinite dimensional Lie algebra coming from noncommutative symplectic geometry. In this note we generalize this argument to specific quotient varieties of representations of (deformed) preprojective algebras. This result was also obtained independently by V. Ginzburg.
Raf Bocklandt, Lieven Le Bruyn
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Braided algebras and their applications to Noncommutative Geometry [PDF]
Advances in Applied Mathematics, 2013 LaTeX file, 24 ...
Dimitri Gurevich, Pavel Saponov
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