Galois And Cleft Monoidal Cowreaths Applications
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Author | : D. Bulacu |
Publisher | : American Mathematical Soc. |
Total Pages | : 133 |
Release | : 2021-07-21 |
Genre | : Education |
ISBN | : 1470447525 |
Download Galois and Cleft Monoidal Cowreaths. Applications Book in PDF, Epub and Kindle
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.
Author | : D. Bulacu |
Publisher | : |
Total Pages | : 145 |
Release | : 2021 |
Genre | : Algebra |
ISBN | : 9781470465322 |
Download Galois and Cleft Monoidal Cowreaths. Applications Book in PDF, Epub and Kindle
Author | : Stefan Geiss |
Publisher | : American Mathematical Society |
Total Pages | : 112 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470449358 |
Download Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs Book in PDF, Epub and Kindle
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Author | : William Gignac |
Publisher | : American Mathematical Society |
Total Pages | : 100 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470449587 |
Download Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities Book in PDF, Epub and Kindle
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Author | : Gijs Heuts |
Publisher | : American Mathematical Society |
Total Pages | : 108 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470448939 |
Download Goodwillie Approximations to Higher Categories Book in PDF, Epub and Kindle
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Author | : Yann Palu |
Publisher | : American Mathematical Society |
Total Pages | : 95 |
Release | : 2021-12-30 |
Genre | : Mathematics |
ISBN | : 1470450046 |
Download Non-Kissing Complexes and Tau-Tilting for Gentle Algebras Book in PDF, Epub and Kindle
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Author | : Pierre Patie |
Publisher | : American Mathematical Society |
Total Pages | : 182 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470449366 |
Download Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups Book in PDF, Epub and Kindle
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Author | : Athanassios S. Fokas |
Publisher | : American Mathematical Society |
Total Pages | : 114 |
Release | : 2022-02-02 |
Genre | : Mathematics |
ISBN | : 1470450984 |
Download On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function Book in PDF, Epub and Kindle
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Author | : Mima Stanojkovski |
Publisher | : American Mathematical Society |
Total Pages | : 117 |
Release | : 2021-12-09 |
Genre | : Mathematics |
ISBN | : 1470450038 |
Download Intense Automorphisms of Finite Groups Book in PDF, Epub and Kindle
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Author | : Guy David |
Publisher | : American Mathematical Society |
Total Pages | : 123 |
Release | : 2021-12-30 |
Genre | : Mathematics |
ISBN | : 1470450437 |
Download Elliptic Theory for Sets with Higher Co-Dimensional Boundaries Book in PDF, Epub and Kindle
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