EA-Matrix Integrals of Associative Algebras and Equivariant Localization

The EA-matrix integrals, introduced in Barannikov (Comptes Rendus Math 348:359–362, 2006 ), are studied in the case of graded associative algebras with odd or even scalar product. I prove that the EA-matrix integrals for associative algebras with scalar product are integrals of equivariantly closed...

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Bibliographic Details
Published in:Arnold mathematical journal 2019-03, Vol.5 (1), p.97-104
Main Author: Barannikov, Serguei
Format: Article
Language:English
Subjects:
Algebra
Integrals
Lie groups
Mathematics
Mathematics and Statistics
Research Contribution
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Summary:The EA-matrix integrals, introduced in Barannikov (Comptes Rendus Math 348:359–362, 2006 ), are studied in the case of graded associative algebras with odd or even scalar product. I prove that the EA-matrix integrals for associative algebras with scalar product are integrals of equivariantly closed differential forms with respect to the Lie algebra g l N ( A ) .
ISSN:2199-6792
2199-6806
DOI:10.1007/s40598-019-00111-0