The order of algebras with nontrivial fixed point subalgebras.
Kureš, Miroslav, Sehnal, David (2007)
Lobachevskii Journal of Mathematics
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Kureš, Miroslav, Sehnal, David (2007)
Lobachevskii Journal of Mathematics
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Fuhrken, G. (1973)
Portugaliae mathematica
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Jenner, W.E. (1965)
Portugaliae mathematica
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Manuel Saorín (1992)
Publicacions Matemàtiques
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In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.
Zbigniew Leszczyński, Andrzej Skowroński (2000)
Colloquium Mathematicae
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We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.
M. Kitazume (1987)
Inventiones mathematicae
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F. S. Cater, A. B. Thaheem (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Mijajlović, Žarko (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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J.D. Maitland Wright, Kazuyuki Saito (1984)
Mathematica Scandinavica
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Helmut Lenzing, Andrzej Skowroński (1996)
Colloquium Mathematicae
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Roberto Conti, Jeong Hee Hong, Wojciech Szymański (2011)
Banach Center Publications
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This mainly expository article is devoted to recent advances in the study of dynamical aspects of the Cuntz algebras 𝓞ₙ, n < ∞, via their automorphisms and, more generally, endomorphisms. A combinatorial description of permutative automorphisms of 𝓞ₙ in terms of labelled, rooted trees is presented. This in turn gives rise to an algebraic characterization of the restricted Weyl group of 𝓞ₙ. It is shown how this group is related to certain classical dynamical systems on the Cantor...