Galois and Cleft Monoidal Cowreaths. Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 1470447525
Total Pages : 133 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Galois and Cleft Monoidal Cowreaths. Applications by : D. Bulacu

Download or read book Galois and Cleft Monoidal Cowreaths. Applications written by D. Bulacu and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce (pre-)Galois and cleft monoidal cowreaths. Generalizing a result of Schneider, to any pre-Galois cowreath we associate a pair of adjoint functors L R and give necessary and sufficient conditions for the adjunction to be an equivalence of categories. Inspired by the work of Doi we also give sufficient conditions for L R to be an equivalence, and consequently conditions under which a fundamental structure theorem for entwined modules over monoidal cowreaths holds. We show that a cowreath is cleft if and only if it is Galois and has the normal basis property; this generalizes a result concerning Hopf cleft extensions due to Doi and Takeuchi. Furthermore, we show that the cleft cowreaths are in a one to one correspondence with what we call cleft wreaths. The latter are wreaths in the sense of Lack and Street, equipped with two additional morphisms satisfying some compatibility relations. Note that, in general, the algebras defined by cleft wreaths cannot be identified to (generalized) crossed product algebras, as they were defined by Doi and Takeuchi, and Blattner, Cohen and Montgomery. This becomes more transparent when we apply our theory to cowreaths defined by actions and coactions of a quasi-Hopf algebra, monoidal entwining structures and ν-Doi-Hopf structures, respectively. In particular, we obtain that some constructions of Brzezi´nski and Schauenburg produce examples of cleft wreaths, and therefore of cleft cowreaths, too.

Galois and Cleft Monoidal Cowreaths. Applications

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ISBN 13 : 9781470465322
Total Pages : 145 pages
Book Rating : 4.4/5 (653 download)

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Book Synopsis Galois and Cleft Monoidal Cowreaths. Applications by : D. Bulacu

Download or read book Galois and Cleft Monoidal Cowreaths. Applications written by D. Bulacu and published by . This book was released on 2021 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs

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Publisher : American Mathematical Society
ISBN 13 : 1470449358
Total Pages : 112 pages
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Book Synopsis Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs by : Stefan Geiss

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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities

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Publisher : American Mathematical Society
ISBN 13 : 1470449587
Total Pages : 100 pages
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Book Synopsis Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities by : William Gignac

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Goodwillie Approximations to Higher Categories

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Publisher : American Mathematical Society
ISBN 13 : 1470448939
Total Pages : 108 pages
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Book Synopsis Goodwillie Approximations to Higher Categories by : Gijs Heuts

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Non-Kissing Complexes and Tau-Tilting for Gentle Algebras

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Publisher : American Mathematical Society
ISBN 13 : 1470450046
Total Pages : 95 pages
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Book Synopsis Non-Kissing Complexes and Tau-Tilting for Gentle Algebras by : Yann Palu

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Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups

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Publisher : American Mathematical Society
ISBN 13 : 1470449366
Total Pages : 182 pages
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Book Synopsis Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups by : Pierre Patie

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On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function

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Publisher : American Mathematical Society
ISBN 13 : 1470450984
Total Pages : 114 pages
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Book Synopsis On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function by : Athanassios S. Fokas

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Intense Automorphisms of Finite Groups

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Publisher : American Mathematical Society
ISBN 13 : 1470450038
Total Pages : 117 pages
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Book Synopsis Intense Automorphisms of Finite Groups by : Mima Stanojkovski

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Elliptic Theory for Sets with Higher Co-Dimensional Boundaries

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Publisher : American Mathematical Society
ISBN 13 : 1470450437
Total Pages : 123 pages
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Book Synopsis Elliptic Theory for Sets with Higher Co-Dimensional Boundaries by : Guy David

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The Yang-Mills Heat Equation with Finite Action in Three Dimensions

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Publisher : American Mathematical Society
ISBN 13 : 1470450534
Total Pages : 111 pages
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Book Synopsis The Yang-Mills Heat Equation with Finite Action in Three Dimensions by : Leonard Gross

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Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry

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Publisher : American Mathematical Society
ISBN 13 : 1470450429
Total Pages : 135 pages
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Book Synopsis Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry by : Stuart Margolis

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Tits Polygons

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Publisher : American Mathematical Society
ISBN 13 : 1470451018
Total Pages : 114 pages
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Book Synopsis Tits Polygons by : Bernhard Mühlherr

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Naturality and Mapping Class Groups in Heegard Floer Homology

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Publisher : American Mathematical Society
ISBN 13 : 1470449722
Total Pages : 174 pages
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Book Synopsis Naturality and Mapping Class Groups in Heegard Floer Homology by : András Juhász

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Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs

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Publisher : American Mathematical Society
ISBN 13 : 1470450445
Total Pages : 136 pages
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Book Synopsis Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs by : Zhiwu Lin

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Ergodicity of Markov Processes via Nonstandard Analysis

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Publisher : American Mathematical Society
ISBN 13 : 147045002X
Total Pages : 114 pages
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Book Synopsis Ergodicity of Markov Processes via Nonstandard Analysis by : Haosui Duanmu

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The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity

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Publisher : American Mathematical Society
ISBN 13 : 1470450526
Total Pages : 115 pages
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Book Synopsis The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity by : Murat Akman

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