K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras

V. I. Yanchevskii

Displaying similar documents to “K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras”

Maximality of dual coactions on sectional C*-algebras of Fell bundles and applications

Alcides Buss, Siegfried Echterhoff (2015)

Studia Mathematica

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We give a simple proof of the maximality of dual coactions on full cross-sectional C*-algebras of Fell bundles over locally compact groups. This result was only known for discrete groups or for saturated (separable) Fell bundles over locally compact groups. Our proof, which is derived as an application of the theory of universal generalised fixed-point algebras for weakly proper actions, is different from these previously known cases and works for general Fell bundles over locally compact...

Vector bundles over classifying spaces.

Oliver, Bob (1998)

Documenta Mathematica

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Splitting vector bundles by blowups

Wojciech Kucharz (2009)

Annales Polonici Mathematici

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We show some advantages of splitting vector bundles by blowups.

Variations on the theme of twistor spaces.

Vaisman, I. (1998)

Balkan Journal of Geometry and its Applications (BJGA)

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Operations on continuous bundles of C*-algebras.

Eberhard Kirchberg, Simon Wassermann (1995)

Mathematische Annalen

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On the form of principal torus-bundles over toruses

T. Jakubowski (1974)

Colloquium Mathematicae

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On Weil Bundles of the First Order

Adgam Yakhievich Sultanov (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined.

On the reducibility of connections on the prolongations of vector bundles

Ivan Kolář (1974)

Colloquium Mathematicae

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Extremal properties for concealed-canonical algebras

Michael Barot, Dirk Kussin, Helmut Lenzing (2013)

Colloquium Mathematicae

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Canonical algebras, introduced by C. M. Ringel in 1984, play an important role in the representation theory of finite-dimensional algebras. They also feature in many other mathematical areas like function theory, 3-manifolds, singularity theory, commutative algebra, algebraic geometry and mathematical physics. We show that canonical algebras are characterized by a number of interesting extremal properties (among concealed-canonical algebras, that is, the endomorphism rings of tilting...

Equivalence and disintegration theorems for Fell bundles and their C*-algebras

Paul S. Muhly, Dana P. Williams

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We study the C*-algebras of Fell bundles. In particular, we prove the analogue of Renault's disintegration theorem for groupoids. As in the groupoid case, this result is the key step in proving a deep equivalence theorem for the C*-algebras of Fell bundles.

Existence of sections of line bundles over a torodial group and its applications.

Yukitaka Abe (1994)

Mathematische Zeitschrift

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Vector bundles on subcartesian spaces

P. Szeptycki (1983)

Annales Polonici Mathematici

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Amenability for Fell bundles.

Ruy Exel (1997)

Journal für die reine und angewandte Mathematik

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Lifting of linear vector fields to fiber product preserving vertical gauge bundles

J. Kurek, W. M. Mikulski (2005)

Colloquium Mathematicae

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We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.

On the Chern character of glued bundles

Jan A. Rempała (1988)

Annales Polonici Mathematici

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On Sectioning multiples of vector bundles and more general homomorphism bundles.

Július Korbas (1994)

Manuscripta mathematica

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A criterion of openness of a family of nef line bundles.

Atsuhsi Moriwaki (1992)

Manuscripta mathematica

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Fibre bundles associated with fields of geometric objects and the structure tensor

J. J. Konderak (1991)

Annales Polonici Mathematici

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On quantum and classical Poisson algebras

Janusz Grabowski, Norbert Poncin (2007)

Banach Center Publications

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Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisited and extended. We prove in particular a somewhat unexpected fact that the algebras of linear differential operators acting on smooth sections of two real vector bundles of rank 1 are isomorphic as Lie algebras if and only if the base manifolds are diffeomorphic, whether or not the line bundles themselves...

Two-Plane Sub-Bundles of nonorientable real vector-bundles.

Maria H. Paula Leite Mello (1986/87)

Manuscripta mathematica

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Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians

Svetlana Ermakova (2015)

Complex Manifolds

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In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.