منابع مشابه
Twisted automorphisms of group algebras
We continue the study of twisted automorphisms of Hopf algebras started in [4]. In this paper we concentrate on the group algebra case. We describe the group of twisted automorphisms of the group algebra of a group of order coprime to 6. The description turns out to be very similar to the one for the universal enveloping algebra given in [4].
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 کامل(Quantum) twisted Yangians: Symmetry, Baxterisation and centralizers
Based on the (quantum) twisted Yangians, integrable systems with special boundary conditions, called soliton non-preserving (SNP), may be constructed. In the present article we focus on the study of subalgebras of the (quantum) twisted Yangians, and we show that such a subalgebra provides an exact symmetry of the rational transfer matrix. We discuss how the spectrum of a generic transfer matrix...
متن کاملLie 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 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...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1973
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1973.47.357