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This result was applied by others in work on division rings of fractions of group rings of free groups. We introduce concepts that illuminate Hughes' arguments, and we simplify the proof of the theorem. A group G is Hughes-free embeddable if for every division ring k, then every crossed-...
Cluster-tilting theory Cluster algebras were introduced by Fomin and Zelevinsky in or-der to understand the dual canonical basis of the quantized enveloping algebra of a quantum group and total positivity for algebraic groups. A cluster cat-egory is obtained b... AB Buan,R Marsh 被引量: ...
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1.1 Algebraic setting and results From an algebraic perspective, the algebras we consider arise in cluster-tilting theory, where the objects of study are rigid objects in some category C and the algebras of interest are their endomorphism algebras. More precisely, let E be a Frobenius category su...
For buildings of type A n , discrete series representations ... MA Ronan,SD Smith - 《Journal of Algebra》 被引量: 93发表: 1985年 Cohomology of tilting modules over quantum groups and $t$-structures on derived categories of coherent sheaves The paper is concerned with cohomology of the ...
An unpublished result by Mirkovi states that convolution-exact sheaves on the flag variety of a simple linear algebraic group G over Fp are tilting, that is, they admit both standard and costandard filtrations. The analogous statement for convolution-exact sheaves on the affine flag variety is ...