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Quantum L Algebras and the Homological Perturbation Lemma

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10403801" target="_blank" >RIV/00216208:11320/19:10403801 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=sWmUjr7liF" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=sWmUjr7liF</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00220-019-03375-x" target="_blank" >10.1007/s00220-019-03375-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum L Algebras and the Homological Perturbation Lemma

  • Original language description

    Quantum L algebras are a generalization of L algebras with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model of a given quantum L algebra via the homological perturbation lemma and show that it&apos;s given by a Feynman diagram expansion, computing the effective action in the finite-dimensional Batalin-Vilkovisky formalism. We also construct a homotopy between the original and this effective quantum L algebra.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Communications in Mathematical Physics

  • ISSN

    0010-3616

  • e-ISSN

  • Volume of the periodical

    367

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    26

  • Pages from-to

    215-240

  • UT code for WoS article

    000462908800007

  • EID of the result in the Scopus database

    2-s2.0-85062594005