Quasi-hopf algebra actions and smash products

By Daniel Bulacu, Florin Panaite, F. van Oystaeyen. 2000

77 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0afa2601a3a41f313a5d857290fc2729be1045a8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Florin Panaite
2. F. van Oystaeyen
3. Michael E. Hoffman
4. S. P. Smith
5. Edwin J. Beggs

In Geometry and Topology

1. Florin Panaite
2. F. van Oystaeyen
3. Michael E. Hoffman
4. S. P. Smith
5. Edwin J. Beggs

In Mathematical Physics

1. Florin Panaite
2. F. van Oystaeyen
3. S. P. Smith
4. Edwin J. Beggs

Citations in the corpus

• L-R-smash product for (quasi) Hopf algebras ∗ (2005, methodology): “Following [6] we define the smash product A#H as follows: as vector space A#H is A⊗H (elements a⊗h will be written a#h) with multiplication given by (a#h)(a ′ #h ′ ) = (x(1) · a)(x(2)h1 · a ′ )#x(3)h2h ′ , (1.”
• Generalized Diagonal Crossed Products and Smash Products for Quasi-Hopf Algebras. Applications (2005, unknown): “Actions and coactions on algebras are an important part of the theory of Hopf algebras, and they have been extended to quasi-Hopf algebras: module algebras have been studied in [2], while (bi) comodule algebras were introduced in [7].”
• ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS (2005, background): “If A is a left H-module algebra (with H-action denoted by h⊗ a → h · a), the invariance under twisting of the smash product A#H is the following result (see [25, 5]).”