Galois and Cleft Monoidal Cowreaths. Applications

Galois and Cleft Monoidal Cowreaths. Applications
Author :
Publisher : American Mathematical Soc.
Total Pages : 133
Release :
ISBN-10 : 9781470447526
ISBN-13 : 1470447525
Rating : 4/5 (525 Downloads)

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 Ī½-Doi-Hopf structures, respectively. In particular, we obtain that some constructions of BrzeziĀ“nski and Schauenburg produce examples of cleft wreaths, and therefore of cleft cowreaths, too.


Galois and Cleft Monoidal Cowreaths. Applications Related Books

Galois and Cleft Monoidal Cowreaths. Applications
Language: en
Pages: 133
Authors: D. Bulacu
Categories: Education
Type: BOOK - Published: 2021-07-21 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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
Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs
Language: en
Pages: 112
Authors: Stefan Geiss
Categories: Mathematics
Type: BOOK - Published: 2021-11-16 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

View the abstract.
Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities
Language: en
Pages: 100
Authors: William Gignac
Categories: Mathematics
Type: BOOK - Published: 2021-11-16 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

View the abstract.
Goodwillie Approximations to Higher Categories
Language: en
Pages: 108
Authors: Gijs Heuts
Categories: Mathematics
Type: BOOK - Published: 2021-11-16 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

View the abstract.
Non-Kissing Complexes and Tau-Tilting for Gentle Algebras
Language: en
Pages: 95
Authors: Yann Palu
Categories: Mathematics
Type: BOOK - Published: 2021-12-30 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

View the abstract.