Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials

Xuejun Xia; Libin Li

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 4, page 1029-1044
  • ISSN: 0011-4642

Abstract

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In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected ℤ -graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2.

How to cite

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Xia, Xuejun, and Li, Libin. "Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials." Czechoslovak Mathematical Journal 72.4 (2022): 1029-1044. <http://eudml.org/doc/298934>.

@article{Xia2022,
abstract = {In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected $\mathbb \{Z\}$-graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2.},
author = {Xia, Xuejun, Li, Libin},
journal = {Czechoslovak Mathematical Journal},
keywords = {graded Frobenius algebra; coalgebra; twisted superpotential},
language = {eng},
number = {4},
pages = {1029-1044},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials},
url = {http://eudml.org/doc/298934},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Xia, Xuejun
AU - Li, Libin
TI - Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1029
EP - 1044
AB - In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected $\mathbb {Z}$-graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2.
LA - eng
KW - graded Frobenius algebra; coalgebra; twisted superpotential
UR - http://eudml.org/doc/298934
ER -

References

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