ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS

DOI10.1142/S0129167X08004996zbMath1167.16023arXivmath/0511280OpenAlexW2019435968MaRDI QIDQ5506100

Florin Panaite, Freddy M. J. van Oystaeyen, Pascual Jara, Javier López Peña

Publication date: 28 January 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511280

zbMATH Keywords

Hopf algebrasdifferential formsnon-commutative geometrydeformationsquantum planetwistingsfactorization structuresiterated twisted tensor products

Mathematics Subject Classification ID

Related Items (34)

Invariance under twisting for crossed products ⋮ Braid group representations from twisted tensor products of algebras ⋮ More examples of invariance under twisting ⋮ On quasi-Hopf smash products and twisted tensor products of quasialgebras. ⋮ Twistors for modules over algebras ⋮ Pseudosymmetric braidings, twines and twisted algebras. ⋮ Twistors of nonlocal vertex algebras ⋮ Iterated twisted tensor products of nonlocal vertex algebras ⋮ Double crossed biproducts and related structures ⋮ Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications. ⋮ General twisting of algebras. ⋮ Non-commutative complex differential geometry ⋮ Non commutative truncated polynomial extensions. ⋮ Factorizable enriched categories and applications ⋮ A dichotomy between twisted tensor products of bialgebras and Frobenius algebras ⋮ Schreier type theorems for bicrossed products. ⋮ On the classification of twisting maps between \(K^n\) and \(K^m\). ⋮ General twisting of ϕ1-coordinated modules of nonlocal vertex algebras ⋮ L-R-Smash Products and L-R-Twisted Tensor Products of Algebras ⋮ Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra. ⋮ Twisted tensor products of K³ with K³ ⋮ Module twistors for modules of nonlocal vertex algebras ⋮ Equivalent Crossed Products and Cross Product Bialgebras ⋮ Introducing crystalline graded algebras. ⋮ On the classification and properties of noncommutative duplicates. ⋮ Deformation of Tensor Product (Co)Algebras via Non-(Co)Normal Twists ⋮ Bitwistor and Quasitriangular Structures of Bialgebras ⋮ Twisted tensor products of \(K^n\) with \(K^m\) ⋮ Extending structures. I: The level of groups. ⋮ Alternative Twisted Tensor Products and Cayley Algebras ⋮ TWISTING OPERATORS, TWISTED TENSOR PRODUCTS AND SMASH PRODUCTS FOR HOM-ASSOCIATIVE ALGEBRAS ⋮ Twisted tensor products of \(\phi\)-coordinated modules for nonlocal vertex algebras ⋮ TWISTED TENSOR PRODUCT MODULES OVER MÖBIUS TWISTED TENSOR PRODUCT NONLOCAL VERTEX ALGEBRAS ⋮ Iterated crossed products

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