منابع مشابه
Lie Algebras with Abelian Centralizers
We classify all finite dimensional Lie algebras over an algebraically closed field of characteristic 0, whose nonzero elements have abelian centralizers. These algebras are either simple or solvable, where the only simple such Lie algebra is sl2. In the solvable case they are either abelian or a one-dimensional split extension of an abelian Lie algebra.
متن کاملCentralizers of Iwahori-hecke Algebras
To date, integral bases for the centre of the Iwahori-Hecke algebra of a finite Coxeter group have relied on character theoretical results and the isomorphism between the Iwahori-Hecke algebra when semisimple and the group algebra of the finite Coxeter group. In this paper, we generalize the minimal basis approach of an earlier paper, to provide a way of describing and calculating elements of t...
متن کاملCentres and Centralizers of Iwahori-hecke Algebras
This thesis describes the minimal basis for the centre of an Iwahori-Hecke algebra. Defining the Iwahori-Hecke algebra H over Z[ξs]s∈S a subring of the traditional ring of definition we begin by defining positivity in H, and by describing a very simple basis for the centralizer of the subalgebra generated by the element corresponding to a single simple reflection of the Coxeter group. This basi...
متن کاملA note on centralizers in q-deformed Heisenberg algebras
We reprove and generalize several results (including the main one) from the recent monograph [3] using the technique of generalized Weyl algebras.
متن کاملON (m,n)–JORDAN CENTRALIZERS IN RINGS AND ALGEBRAS
Let m ≥ 0, n ≥ 0 be fixed integers with m + n 6= 0 and let R be a ring. It is our aim in this paper to investigate additive mapping T : R → R satisfying the relation (m + n)T (x2) = mT (x)x + nxT (x) for all x ∈ R. This research is a continuation of our earlier work ([11]). Throughout, R will represent an associative ring with center Z(R). Given an integer n ≥ 2, a ring R is said to be n−torsio...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2007
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-07-08678-9