Recollements of self-injective algebras, and classification of self-injective diagram algebras
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-1857-4
Abstract: Diagram algebras, in particular Brauer algebras, Birman–Murakami-Wenzl algebras and partition algebras, are used in representation theory and invariant theory of orthogonal and symplectic groups, in knot theory, in mathematical physics and elsewhere. Classifications are known… read more here.
Keywords: recollements self; injective algebras; diagram algebras; self injective ... See more keywords
Universal deformation rings and self-injective Nakayama algebras
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DOI: 10.1016/j.jpaa.2018.03.008
Abstract: Abstract Let k be a field and let Λ be an indecomposable finite dimensional k-algebra such that there is a stable equivalence of Morita type between Λ and a self-injective split basic Nakayama algebra over… read more here.
Keywords: nakayama; rings self; universal deformation; self injective ... See more keywords
Models for functor categories over self-injective quivers
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DOI: 10.1142/s0219498822500839
Abstract: Let R be a ring, Q a small k-preadditive category, and let Q,RMod be the category of k-linear functors from Q to the left R-module category RMod. Given a cotorsion pair (????,ℬ) in RMod, we… read more here.
Keywords: categories self; self injective; models functor; functor categories ... See more keywords
Universal Deformation Rings of Modules over Self-injective Cluster-Tilted Algebras Are Trivial
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DOI: 10.1142/s1005386721000213
Abstract: Let k be a fixed algebraically closed field of arbitrary characteristic, let Λ be a finite dimensional self-injective k-algebra, and let V be an indecomposable non-projective left Λ-module with fin... read more here.
Keywords: universal deformation; self injective; rings modules; injective cluster ... See more keywords