Tame generalized canonical algebras

Canonical Bases for Quantum Generalized Kac-moody Algebras

We construct canonical bases for quantum generalized Kac-Moody algebras using semisimple perverse sheaves.

Addendum to “canonical Bases for Quantum Generalized Kac-moody Algebras”

We provide some necessary details to several arguments appearing in our previous paper “Canonical bases for quantum generalized Kac-Moody algebras”. As pointed out to us by several people, some of the arguments in our paper [KS] are too sketchy and at places incomplete. The first purpose of this addendum is to fill in the missing details and provide complete proofs. The second purpose is to exp...

Tame Loci of Generalized Local Cohomology Modules

Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local ...

On Ringel-hall Algebras of Tame Hereditary Algebras

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 ].