Universal deformation rings of modules for generalized Brauer tree algebras of polynomial growth

D. G. Meyer; Roberto C. Soto; Daniel J. Wackwitz

Corpus ID: 216144746

Universal deformation rings of modules for generalized Brauer tree algebras of polynomial growth

@article{Meyer2020UniversalDR,
  title={Universal deformation rings of modules for generalized Brauer tree algebras of polynomial growth},
  author={D. G. Meyer and Roberto C. Soto and Daniel J. Wackwitz},
  journal={arXiv: Representation Theory},
  year={2020}
}

D. G. Meyer, Roberto C. Soto, Daniel J. Wackwitz

Published 2020

Mathematics

arXiv: Representation Theory

Let $k$ be an arbitrary field, $\Lambda$ be a $k$-algebra, and $V$ be a $\Lambda$-module. When it exists, the universal deformation ring $R(\Lambda,V)$ of $V$ is a $k$-algebra whose local homomorphisms from $R(\Lambda,V)$ to $R$ parametrize the lifts of $V$ up to $R\Lambda$, where $R$ is any appropriate complete, local commutative Noetherian $k$-algebra. Symmetric special biserial algebras, which coincide with Brauer graph algebras, can be viewed as generalizing the blocks of finite type $p… CONTINUE READING

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