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Irreducible Characters of Finite Algebra Groups | Carlos A. M. Andre
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23 Nov 1998 | Subject: | Representation Theory; Group Theory | math.RT math.GR | Abstract: | Let F be a finite field with q elements, let A be a finite dimensional F-algebra and let J=J(A) be the Jacobson radical of A. Then G=1+J is a p-group, where p is the characteristic of F. We refer to G as an F-algebra group. A subgroup H of G is said to be an algebra subgroup of G if H=1+U for some multiplicatively closed F-subspace of J. In this paper, we parametrize the irreducible complex characters of G in terms of G-orbits on the dual space of J. Moreover, we prove that every irreducible complex character of G is induced from a linear character of some algebra subgroup of G. | Source: | arXiv, math.RT/9811132 | Services: | Forum | Review | PDF | Favorites |
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