Deformations of bimodule problems

Christof Geiß

Fundamenta Mathematicae (1996)

  • Volume: 150, Issue: 3, page 255-264
  • ISSN: 0016-2736

Abstract

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We prove that deformations of tame Krull-Schmidt bimodule problems with trivial differential are again tame. Here we understand deformations via the structure constants of the projective realizations which may be considered as elements of a suitable variety. We also present some applications to the representation theory of vector space categories which are a special case of the above bimodule problems.

How to cite

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Geiß, Christof. "Deformations of bimodule problems." Fundamenta Mathematicae 150.3 (1996): 255-264. <http://eudml.org/doc/212176>.

@article{Geiß1996,
abstract = {We prove that deformations of tame Krull-Schmidt bimodule problems with trivial differential are again tame. Here we understand deformations via the structure constants of the projective realizations which may be considered as elements of a suitable variety. We also present some applications to the representation theory of vector space categories which are a special case of the above bimodule problems.},
author = {Geiß, Christof},
journal = {Fundamenta Mathematicae},
keywords = {bimodule problems; vector space categories; tame; wild; deformations; degenerations; categories of finite dimensional vector spaces; matrix representations; category of representations; geometric deformations; free triangular bocses; tame representation type; wild representation type},
language = {eng},
number = {3},
pages = {255-264},
title = {Deformations of bimodule problems},
url = {http://eudml.org/doc/212176},
volume = {150},
year = {1996},
}

TY - JOUR
AU - Geiß, Christof
TI - Deformations of bimodule problems
JO - Fundamenta Mathematicae
PY - 1996
VL - 150
IS - 3
SP - 255
EP - 264
AB - We prove that deformations of tame Krull-Schmidt bimodule problems with trivial differential are again tame. Here we understand deformations via the structure constants of the projective realizations which may be considered as elements of a suitable variety. We also present some applications to the representation theory of vector space categories which are a special case of the above bimodule problems.
LA - eng
KW - bimodule problems; vector space categories; tame; wild; deformations; degenerations; categories of finite dimensional vector spaces; matrix representations; category of representations; geometric deformations; free triangular bocses; tame representation type; wild representation type
UR - http://eudml.org/doc/212176
ER -

References

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  14. [14] J. A. de la Pe na, On the dimension of module varieties of tame and wild algebras, Comm. Algebra 19 (1991), 1795-1805. Zbl0818.16013
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