Decomposing moduli of representations of finite-dimensional algebras
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-018-1687-7
Abstract: Consider a finite-dimensional algebra A and any of its moduli spaces $${{\mathcal {M}}}(A,\mathbf {d})^{ss}_{\theta }$$M(A,d)θss of representations. We prove a decomposition theorem which relates any irreducible component of $${{\mathcal {M}}}(A,{\mathbf {d}})^{ss}_{\theta }$$M(A,d)θss to a product… read more here.
Keywords: finite dimensional; moduli representations; moduli spaces; representations finite ... See more keywords
Deformations of complexes for finite dimensional algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2017.08.003
Abstract: Abstract Let k be a field and let Λ be a finite dimensional k-algebra. We prove that every bounded complex V • of finitely generated Λ-modules has a well-defined versal deformation ring R ( Λ… read more here.
Keywords: finite dimensional; algebra; deformations complexes; complexes finite ... See more keywords
Maximal subalgebras of finite-dimensional algebras
Sign Up to like & getrecommendations! Published in 2019 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0033
Abstract: Abstract We study maximal associative subalgebras of an arbitrary finite-dimensional associative algebra B over a field ???? {\mathbb{K}} and obtain full classification/description results of such algebras. This is done by first obtaining a complete classification… read more here.
Keywords: finite dimensional; subalgebras finite; case; maximal subalgebras ... See more keywords