Results 11 to 20 of about 19,931 (156)
Noncommutative geometry and quiver algebras
Advances in Mathematics, 2007 We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutative symplectic geometry. For any smooth associative algebra B, we define its noncommutative cotangent bundle T^*B, which is a basic example of noncommutative symplectic ...
Crawley-Boevey, William +2 more
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The Dual Gromov-Hausdorff Propinquity [PDF]
, 2014 Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen +45 more
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Noncommutative Geometry and Spacetime Gauge Symmetries of String Theory [PDF]
, 1997 We illustrate the various ways in which the algebraic framework of noncommutative geometry naturally captures the short-distance spacetime properties of string theory.
Banks +31 more
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Some special types of determinants in graded skew P BW extensions.
Revista Integración, 2021 In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant.
Héctor Suárez +2 more
doaj
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Automorphism groupoids in noncommutative projective geometry [PDF]
, 2018 We address a natural question in noncommutative geometry, namely the rigidity observed in many examples, whereby noncommutative spaces (or equivalently their coordinate algebras) have very few automorphisms by comparison with their commutative ...
Cooney, Nicholas, Grabowski, Jan E.
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The Bell states in noncommutative algebraic geometry [PDF]
, 2014 We introduce new mathematical aspects of the Bell states using matrix factorizations, nonnoetherian singularities, and noncommutative blowups. A matrix factorization of a polynomial $p$ consists of two matrices $\phi_1,\phi_2$ such that $\phi_1\phi_2 ...
Charlie Beil +3 more
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Deformation Quantization of Coadjoint Orbits [PDF]
, 2000 A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. It is based on the algebraic structure of the orbit.
Cahen M. +2 more
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Automorphisms of associative algebras and noncommutative geometry [PDF]
Journal of Physics A: Mathematical and General, 2004 A class of differential calculi is explored which is determined by a set of automorphisms of the underlying associative algebra. Several examples are presented. In particular, differential calculi on the quantum plane, the $h$-deformed plane and the quantum group GLpq(2) are recovered in this way. Geometric structures like metrics and compatible linear
Müller-Hoissen, F., Dimakis, A.
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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.
Bocklandt, Raf, Le Bruyn, Lieven
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