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pro vyhledávání: '"Sauter, Julia"'
Autor:
Sauter, Julia
We define tilting subcategories in arbitrary exact categories to archieve the following. Firstly: Unify existing definitions of tilting subcategories to arbitrary exact categories. Discuss standard results for tilting subcategories: Auslander corresp
Externí odkaz:
http://arxiv.org/abs/2208.06381
Autor:
Sauter, Julia
This is a generalization of some results of Ma-Sauter from module categories over artin algebras to more general functor categories (and partly to exact categories). In particular, we generalize the definition of a faithfully balanced module to a fai
Externí odkaz:
http://arxiv.org/abs/2208.05226
Autor:
Sauter, Julia
We give a bijection between the tilting complexes in the bounded homotopy category of the Auslander algebra of the truncated polynomial ring and ZxB where B is the Artin braid goup of type A with n-1 generators. The tilting complexes have mutation co
Externí odkaz:
http://arxiv.org/abs/1907.04949
We study and classify faithfully balanced modules for the algebra of lower triangular $n$ by $n$ matrices. The theory extends known results about tilting modules, which are classified by binary trees, and counted with the Catalan numbers. The number
Externí odkaz:
http://arxiv.org/abs/1905.00613
Autor:
Ma, Biao, Sauter, Julia
We revisit faithfully balanced modules. These are faithful modules having the double centralizer property. For finite-dimensional algebras our main tool is the category ${\rm cogen}^1(M)$ of modules with a copresentation by summands of finite sums of
Externí odkaz:
http://arxiv.org/abs/1901.07855
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Autor:
Pressland, Matthew, Sauter, Julia
We show that endomorphism rings of cogenerators in the module category of a finite-dimensional algebra A admit a canonical tilting module, whose tilted algebra B is related to A by a recollement. Let M be a gen-finite A-module, meaning there are only
Externí odkaz:
http://arxiv.org/abs/1802.01848
Publikováno v:
In The Journal of Sexual Medicine July 2022 19(7):1147-1155
Autor:
Eiriksson, Ögmundur, Sauter, Julia
In Lie theory, a dense orbit in the unipotent radical of a parabolic group under the adjoint action is called a Richardson orbit. We define a quiver-graded version of Richardson orbits generalising the classical definition in the case of the general
Externí odkaz:
http://arxiv.org/abs/1707.03244
Autor:
Pressland, Matthew, Sauter, Julia
Publikováno v:
Glasgow Math. J. 64 (2022) 79-105
We study certain special tilting and cotilting modules for an algebra with positive dominant dimension, each of which is generated or cogenerated (and usually both) by projective-injectives. These modules have various interesting properties, for exam
Externí odkaz:
http://arxiv.org/abs/1705.03367