On crossed product of algebras

Abstract

The concept of a crossed tensor product of algebras is studied from a few points of views. Some related constructions are considered. Crossed enveloping algebras and their representations are discussed. Applications to the noncommutative geometry and particle systems with generalized statistics are indicated.

20 pages, latex2e (latexsym), no figures, accepted for publication in J. Math. Phys. 41 no10 (2000)

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• Unbraiding the braided tensor product
• On the classification of twisting maps between $K^n$ and $K^m$
• Bicrossproduct construction versus Weyl-Heisenberg algebra
• Decoupling Braided Tensor Factors
• Particles of generalized statistics, quantum logic and categories
• Regular graded algebras and obstructed categories with duality
• Alternative twisted tensor products and Cayley algebras
• Infinite Hopf Families of Algebras and Yang-Baxter Relations