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Global and local Weyl modules for the untwisted multiloop Lie algebras were defined in [CFK] via homological properties. In this paper we extended the ideas to give a categorical definition of the Wey...
I give a simpler proof of the generalisation of Engel’s Theorem to Leibniz algebras.
For a dg algebra whose homology is of finite dimension in each degree, vanishes in negative
degrees and is semi-simple in degree 0, we show that each simple module over the homology lifts to a differ...
A note on trace scaling actions and fundamental groups of $C^*$-algebras
Fundamental group Trace scaling action Dimension group
2010/12/1
Using Effros-Handelman-Shen theorem and Elliott’s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A K admits no trace scaling ...
We define tilting mutations of symmetric algebras as the endomorphism algebras of Okuyama-Rickard complexes. For Brauer tree algebras, we give an explicit description of the change of
Brauer trees un...