Journal of Algebra, ISSN 0021-8693, 06/2018, Volume 504, pp. 536 - 567

We present new examples of deformations of smash product algebras that arise from Hopf algebra actions on pairs of module algebras. These examples involve...

Smash product algebras | Hopf algebras | PBW deformations

Smash product algebras | Hopf algebras | PBW deformations

Journal Article

JOURNAL OF ALGEBRA, ISSN 0021-8693, 06/2018, Volume 504, pp. 536 - 567

We present new examples of deformations of smash product algebras that arise from Hopf algebra actions on pairs of module algebras. These examples involve...

MATHEMATICS | Smash product algebras | PBW deformations | HOPF-ALGEBRAS | W-ALGEBRAS | HECKE ALGEBRAS | Hopf algebras | RATIONAL CHEREDNIK ALGEBRAS

MATHEMATICS | Smash product algebras | PBW deformations | HOPF-ALGEBRAS | W-ALGEBRAS | HECKE ALGEBRAS | Hopf algebras | RATIONAL CHEREDNIK ALGEBRAS

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2019, Volume 530, pp. 402 - 428

The smash product # of a Hopf algebra and an -module vertex operator algebra are investigated. -theory and contragredient module theory are founded for # . If...

Quantum vertex algebras | Vertex operator algebras | Hopf algebras | Smash product

Quantum vertex algebras | Vertex operator algebras | Hopf algebras | Smash product

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2017, Volume 482, pp. 204 - 223

We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations...

Partial smash products | Spectral sequence | Cohomology | Partial actions | MATHEMATICS | ALGEBRAS | GALOIS THEORY | CROSSED-PRODUCTS | Algebra | Mathematics - Rings and Algebras

Partial smash products | Spectral sequence | Cohomology | Partial actions | MATHEMATICS | ALGEBRAS | GALOIS THEORY | CROSSED-PRODUCTS | Algebra | Mathematics - Rings and Algebras

Journal Article

5.
Full Text
Semidirect products of weak multiplier Hopf algebras: Smash products and smash coproducts

Communications in Algebra, ISSN 0092-7872, 08/2018, Volume 46, Issue 8, pp. 3241 - 3261

In this paper, we will develop the smash product of weak multiplier Hopf algebras unifying the cases of Hopf algebras, weak Hopf algebras and multiplier Hopf...

16T05 | weak multiplier Hopf algebra | Actions | 16S40 | smash products | MATHEMATICS | DUALITY | CROSSED-PRODUCTS | BIALGEBRAS | Integrals | Algebra

16T05 | weak multiplier Hopf algebra | Actions | 16S40 | smash products | MATHEMATICS | DUALITY | CROSSED-PRODUCTS | BIALGEBRAS | Integrals | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 03/2013, Volume 377, pp. 1 - 48

Let and be algebras and coalgebras in a braided monoidal category , and suppose that we have a cross product algebra and a cross product coalgebra structure on...

Cross product | Hopf datum | Monoidal category | Smash product | MATHEMATICS | CATEGORIES | BIALGEBRAS | Algebra | Universities and colleges

Cross product | Hopf datum | Monoidal category | Smash product | MATHEMATICS | CATEGORIES | BIALGEBRAS | Algebra | Universities and colleges

Journal Article

Colloquium Mathematicum, ISSN 0010-1354, 2014, Volume 134, Issue 1, pp. 75 - 92

Let (A, alpha) and (B, beta) be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: R-smash products (A(sic)(R) B, alpha circle times beta)....

Cobraided Hom-Hopf algebra | Yang-Baxter equation | Hom-smash product | MATHEMATICS | cobraided Hom-Hopf algebra

Cobraided Hom-Hopf algebra | Yang-Baxter equation | Hom-smash product | MATHEMATICS | cobraided Hom-Hopf algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 11/2015, Volume 441, pp. 314 - 343

We introduce the Hom-analogue of the L-R-smash product and use it to define the Hom-analogue of the diagonal crossed product. When is a finite dimensional...

Hom-bialgebra | Hom-Hopf algebra | L-R-smash product | Twisted tensor product | Twisting operator | Drinfeld double | Hom-associative algebra | QUANTUM GROUPS | UNIVERSAL DEFORMATION FORMULAS | VIRASORO ALGEBRA | LIE-ALGEBRAS | MATHEMATICS | CENTRAL EXTENSION | QUANTIZATION | HOMOLOGY | TWISTED TENSOR-PRODUCTS | Algebra

Hom-bialgebra | Hom-Hopf algebra | L-R-smash product | Twisted tensor product | Twisting operator | Drinfeld double | Hom-associative algebra | QUANTUM GROUPS | UNIVERSAL DEFORMATION FORMULAS | VIRASORO ALGEBRA | LIE-ALGEBRAS | MATHEMATICS | CENTRAL EXTENSION | QUANTIZATION | HOMOLOGY | TWISTED TENSOR-PRODUCTS | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2015, Volume 433, pp. 73 - 106

Stefan and Guichardet have provided Lyndon–Hochschild–Serre type spectral sequences which converge to the Hochschild cohomology and Ext groups of a smash...

Hochschild cohomology | Spectral sequences | Ext algebras | Smash products | Hopf algebras | MATHEMATICS | POINTED HOPF-ALGEBRAS | CROSSED-PRODUCTS | Algebra

Hochschild cohomology | Spectral sequences | Ext algebras | Smash products | Hopf algebras | MATHEMATICS | POINTED HOPF-ALGEBRAS | CROSSED-PRODUCTS | Algebra

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 2014, Volume 13, Issue 7, pp. 1450036 - 1-1450036-14

We define a "mirror version" of Brzezinski's crossed product and we prove that, under certain circumstances, a Brzezinski's crossed product D circle times...

twisted tensor product of algebras | Crossed product | quasi-Hopf smash product | MATHEMATICS | SMASH PRODUCTS | MATHEMATICS, APPLIED | ALGEBRAS | TWISTED TENSOR-PRODUCTS | Construction | Tensors | Algebra | Mathematical analysis

twisted tensor product of algebras | Crossed product | quasi-Hopf smash product | MATHEMATICS | SMASH PRODUCTS | MATHEMATICS, APPLIED | ALGEBRAS | TWISTED TENSOR-PRODUCTS | Construction | Tensors | Algebra | Mathematical analysis

Journal Article

2017, Mathematical surveys and monographs, ISBN 1470437856, Volume 224, vi, 321 pages

Associative rings and algebras -- Rings and algebras arising under various constructions -- Twisted and skew group rings, crossed products | C-algebras | Associative rings and algebras -- Rings and algebras arising under various constructions -- Smash products of general Hopf actions | Functional analysis -- Selfadjoint operator algebras ($C^$-algebras, von Neumann ($W^$-) algebras, etc.) -- Decomposition theory for $C^$-algebras | Banach spaces | Isometrics (Mathematics) | Isométrie (mathématiques) | C-algèbres | Functional analysis -- Selfadjoint operator algebras ($C^$-algebras, von Neumann ($W^$-) algebras, etc.) -- Noncommutative dynamical systems | Banach, Espaces de

Book

Communications in Algebra, ISSN 0092-7872, 02/2019, Volume 47, Issue 2, pp. 585 - 610

Let be a field, G a group, and (Q, I) a bound quiver. A map is called a G-weight on Q, which defines a G-graded -category , and W is called homogeneous if I is...

16W50 | Coverings | Brauer graphs | gradings | quiver presentations | smash products | 18D05 | 16W22 | MATHEMATICS | ALGEBRAS | GALOIS COVERING FUNCTORS | EQUIVALENCE CLASSIFICATION | Permutations | Graphs | Computation | Weight | Group theory

16W50 | Coverings | Brauer graphs | gradings | quiver presentations | smash products | 18D05 | 16W22 | MATHEMATICS | ALGEBRAS | GALOIS COVERING FUNCTORS | EQUIVALENCE CLASSIFICATION | Permutations | Graphs | Computation | Weight | Group theory

Journal Article

Communications in Algebra, ISSN 0092-7872, 10/2014, Volume 42, Issue 10, pp. 4204 - 4234

We consider two new algebras from an H-biquasimodule algebra A and a Hopf quasigroup H: twisted smash product A ⊛ H and L-R smash product A⋇H, and find...

Hopf quasigroup | L-R smash product | Twisted smash product | Twist double | MATHEMATICS | BIMODULE ALGEBRAS | Algebra

Hopf quasigroup | L-R smash product | Twisted smash product | Twist double | MATHEMATICS | BIMODULE ALGEBRAS | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 10/2016, Volume 44, Issue 10, pp. 4140 - 4164

Let (H, α) be a monoidal Hom-Hopf algebra and (A, β) be an (H, α)-Hom-bimodule algebra. In this article, we first introduce the notion of a twisted Hom-smash...

Monoidal Hom-Hopf algebra | Morita context | 16S40 | Twisted Hom-smash product | Maschke-type theorem | MATHEMATICS | Theorems | Algebra | Categories | Images

Monoidal Hom-Hopf algebra | Morita context | 16S40 | Twisted Hom-smash product | Maschke-type theorem | MATHEMATICS | Theorems | Algebra | Categories | Images

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 8/2019, Volume 22, Issue 4, pp. 785 - 799

A general criterion is given for when the center of a Taft algebra smash product is the fixed ring. This is applied to the study of the noncommutative...

Discriminant | Azumaya locus | Non-associative Rings and Algebras | 16S40 | Commutative Rings and Algebras | Mathematics | Automorphism group | Smash product | 11R29 | Ore extension | Associative Rings and Algebras | Poisson algebra | Taft algebra | 16W20 | 16S36 | 16W22 | MATHEMATICS | AUTOMORPHISM-GROUPS | POISSON | ANALOGS | PRIME IDEALS | Algebra | Automorphisms

Discriminant | Azumaya locus | Non-associative Rings and Algebras | 16S40 | Commutative Rings and Algebras | Mathematics | Automorphism group | Smash product | 11R29 | Ore extension | Associative Rings and Algebras | Poisson algebra | Taft algebra | 16W20 | 16S36 | 16W22 | MATHEMATICS | AUTOMORPHISM-GROUPS | POISSON | ANALOGS | PRIME IDEALS | Algebra | Automorphisms

Journal Article

Topology and its Applications, ISSN 0166-8641, 02/2017, Volume 217, pp. 70 - 80

Let be the set of homotopy classes of self-homotopy equivalences of a space . The set is a group by composition of homotopy classes. We study the group for the...

Equivalence | Homotopy | Smash product | MATHEMATICS | MATHEMATICS, APPLIED | Questions and answers

Equivalence | Homotopy | Smash product | MATHEMATICS | MATHEMATICS, APPLIED | Questions and answers

Journal Article

Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 5, pp. 1305 - 1313

In this work, the notion of an L-R crossed product is introduced as a unified approach for L-R smash product and crossed product. Then the duality theorem for...

Linear transformations | Von Neumann algebra | Mathematical duality | Mathematical rings | Algebra | Mathematical theorems | L-R crossed product | Duality theorem | Hopf algebra | MATHEMATICS | SMASH PRODUCTS | MATHEMATICS, APPLIED | HOPF-ALGEBRAS | duality theorem | QUANTUM GROUPS | DEFORMATION QUANTIZATION

Linear transformations | Von Neumann algebra | Mathematical duality | Mathematical rings | Algebra | Mathematical theorems | L-R crossed product | Duality theorem | Hopf algebra | MATHEMATICS | SMASH PRODUCTS | MATHEMATICS, APPLIED | HOPF-ALGEBRAS | duality theorem | QUANTUM GROUPS | DEFORMATION QUANTIZATION

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 9/2017, Volume 27, Issue 3, pp. 2885 - 2897

Let A be a finite dimensional algebra graded by a finite group, and let $$\Gamma $$ Γ be the corresponding smash product. We prove that if A is separably...

Stable module category | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Oppermann dimension | Applications of Mathematics | Physics, general | Secondary 16S34 | Physics | Primary 16G10 | 16P90 | Representation dimension | Smash product | MATHEMATICS, APPLIED | SELF-INJECTIVE ALGEBRAS | SKEW GROUP-ALGEBRAS | PHYSICS, MATHEMATICAL | Algebra

Stable module category | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Oppermann dimension | Applications of Mathematics | Physics, general | Secondary 16S34 | Physics | Primary 16G10 | 16P90 | Representation dimension | Smash product | MATHEMATICS, APPLIED | SELF-INJECTIVE ALGEBRAS | SKEW GROUP-ALGEBRAS | PHYSICS, MATHEMATICAL | Algebra

Journal Article

Journal of Southeast University (English Edition), ISSN 1003-7985, 09/2016, Volume 32, Issue 3, pp. 391 - 394

Journal Article

Publicationes Mathematicae, ISSN 0033-3883, 2016, Volume 89, Issue 1-2, pp. 23 - 41

In this paper we first give the sufficient conditions under which a partial twisted smash product algebra and the usual tensor product coalgebra become a...

Partial twisted smash product | Frobenius | Partial representation | MATHEMATICS | partial twisted smash product | HOPF-ALGEBRAS | GALOIS THEORY | (CO)ACTIONS | partial representation | ENVELOPING ACTIONS

Partial twisted smash product | Frobenius | Partial representation | MATHEMATICS | partial twisted smash product | HOPF-ALGEBRAS | GALOIS THEORY | (CO)ACTIONS | partial representation | ENVELOPING ACTIONS

Journal Article

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