Baker-Akhiezer modules on rational varieties.

Melnik, Irina A.; Mironov, Andrey E.

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On tilting and cotilting-type modules

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We use modules of finite length to compare various generalizations of the classical tilting and cotilting modules introduced by Brenner and Butler [BrBu].

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Compatible topologies and bornologies on modules are introduced and studied.

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Christof Geiß, Bernard Leclerc, Jan Schröer (2008)

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Let $Λ$ be a preprojective algebra of type $A, D, E$ , and let $G$ be the corresponding semisimple simply connected complex algebraic group. We study rigid modules in subcategories $Sub Q$ for $Q$ an injective $Λ$ -module, and we introduce a mutation operation between complete rigid modules in $Sub Q$ . This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to $G$ .

Combinatorics, superalgebras, invariant theory and representation theory.

Brini, Andrea (2005)

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