Classification of bernstein algebras of type (3, n - 3) |
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Authors: | S. González J. C. Gutiérrez C. Martínez |
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Affiliation: | Departamento de Matematicas , Universidad de Oviedo , Calvo Sotelo, Oviedo, 33007, Spain |
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Abstract: | A classification of Bernstein algebras in dimensions n ? 4 has been made by Holgate in [2], however that article contains no classification up to isomorphism, the problem is solved by Lyubich in [4] when K = R or C, and by Cortes [1] in the general case. Also Lyubich has given in [5] a classification of the regular nonexceptional Bernstein algebra of type (3,n?3) and a classification but not up to isomorphism of nonregular nonexceptional Bernstein algebras of type (3,n ? 3) when K = C. The aim of this paper it to characterize, up to isomorphism, Bernstein algebras of type(2, n ? 2) and nonexceptional of type(3, n ?3) over a infinite commutative field K whose characteristic is different from 2. |
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Keywords: | Irreducible character Semisimple algebraic group Cartan invariant matrix |
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