منابع مشابه
Subfields of Nondegenerate Tame Semiramified Division Algebras
We show in this article that in many cases the subfields of a nondegenerate tame semiramified division algebra of prime power degree over a Henselian valued field are inertial field extensions of the center [Th. 2.5, Th. 2.12 and Prop. 2.16 ].
متن کاملTame Quivers and Affine Enveloping Algebras
Let g be an affine Kac-Moody algebra with symmetric Cartan datum, n be the maximal nilpotent subalgebra of g. By the Hall algebra approach, we construct integral bases of the Z-form of the enveloping algebra U(n). In particular, the representation theory of tame quivers is essentially used in this paper.
متن کاملHochschild Cohomology and Support Varieties for Tame Hecke Algebras
We give a basis for the Hochschild cohomology ring of tame Hecke algebras. We then show that the Hochschild cohomology ring modulo nilpotence is a finitely generated algebra of Krull dimension 2, and describe the support varieties of modules for these algebras.
متن کاملKummer subfields of tame division algebras over Henselian valued fields
By generalizing the method used by Tignol and Amitsur in [TA85], we determine necessary and sufficient conditions for an arbitrary tame central division algebra D over a Henselian valued field E to have Kummer subfields [Corollary 2.11 and Corollary 2.12]. We prove also that if D is a tame semiramified division algebra of prime power degree p over E such that p 6= char(Ē) and rk(ΓD/ΓF ) ≥ 3 [re...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1988
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496160637