Geodesic
Tensor Products of Algebras and Their Applications to the Construction of Anosov Diffeomorphisms
Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 811-821

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In this paper, we develop algebraic approaches to the construction of Anosov diffeomorphisms on compact manifolds. Two mutually dual constructions are described, which provide numerous new examples of Anosov diffeomorphisms on nilmanifolds. The basis of the constructions is the operation of tensor multiplication of Lie algebras by appropriate finite-dimensional associative-commutative algebras. Several examples illustrating the general method are given.
Keywords: Anosov diffeomorphism, nilpotent Lie group, hyperbolic nilpotent Lie group, nilmanifold, associative-commutative algebra. 
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     author = {V. V. Gorbatsevich},
     title = {Tensor {Products} of {Algebras} and {Their} {Applications} to the {Construction} of {Anosov} {Diffeomorphisms}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {6},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a1/}
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V. V. Gorbatsevich. Tensor Products of Algebras and Their Applications to the Construction of Anosov Diffeomorphisms. Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 811-821. http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a1/