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The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm
(Springer Netherlands, 2008)
Character Formulae And A Realization Of Tilting Modules For Sl(2)[t]
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2015)
Algebras determined by their supports
(Elsevier Science BVAmsterdam, 2012)
In this paper, we introduce and study a class of algebras which we call ada algebras. An artin algebra is ada if every indecomposable projective and every indecomposable injective module lies in the union of the left and ...
AUSLANDER GENERATORS OF ITERATED TILTED ALGEBRAS
(AMER MATHEMATICAL SOC, 2010)
Let A be an iterated tilted algebra. We will construct an Auslander generator M in order to show that the representation dimension of A is three in case A is representation infinite.
Contravariantly finite subcategories closed under predecessors
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
Let A be an Artin algebra and mod A be the category of finitely generated right A-modules. We prove that an additive full subcategory C of mod A closed under predecessors is contravariantly finite if and only if its right ...
The representation dimension of a Selfinjective Algebra of wild tilted type
(Academic Press Inc Elsevier Science, 2017-05)
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected ...
Macdonald Polynomials And Bgg Reciprocity For Current Algebras
(Birkhauser Verlag AG, 2014)