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Odd Structures Are Odd
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SYSNO ASEP 0474671 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Odd Structures Are Odd Author(s) Markl, Martin (MU-W) RID, SAI, ORCID Source Title Advances in Applied Clifford Algebras - ISSN 0188-7009
Roč. 27, č. 2 (2017), s. 1567-1580Number of pages 14 s. Language eng - English Country CH - Switzerland Keywords graded vector space ; monoidal structure ; Odd endomorphism operad Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000401669000041 EID SCOPUS 84986321996 DOI 10.1007/s00006-016-0720-8 Annotation By an odd structure we mean an algebraic structure in the category of graded vector spaces whose structure operations have odd degrees. Particularly important are odd modular operads which appear as Feynman transforms of modular operads and, as such, describe some structures of string field theory. We will explain how odd structures are affected by the choice of the monoidal structure of the underlying category. We will then present two ‘natural’ and ‘canonical’ constructions of an odd modular endomorphism operad leading to different results, only one being correct. This contradicts the generally accepted belief that the systematic use of the Koszul sign rule leads to correct signs. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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