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A remark on the Hochschild dimension of liberated quantum groups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00636964" target="_blank" >RIV/67985840:_____/25:00636964 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/25:10513198

  • Result on the web

    <a href="https://doi.org/10.4171/jncg/572" target="_blank" >https://doi.org/10.4171/jncg/572</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4171/JNCG/572" target="_blank" >10.4171/JNCG/572</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A remark on the Hochschild dimension of liberated quantum groups

  • Original language description

    Let A be a Hopf algebra equipped with a projection onto the coordinate Hopf algebra O(G) of a semisimple algebraic group G. It is shown that if A admits a suitably non-degenerate comodule V and the induced G-module structure of V is non-trivial, then the third Hochschild homology group of A is non-trivial.

  • 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/GJ20-17488Y" target="_blank" >GJ20-17488Y: Applications of C*-algebra classification: dynamics, geometry, and their quantum analogues</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2025

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Noncommutative Geometry

  • ISSN

    1661-6952

  • e-ISSN

    1661-6960

  • Volume of the periodical

    19

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    10

  • Pages from-to

    647-656

  • UT code for WoS article

    001468126700009

  • EID of the result in the Scopus database

    2-s2.0-105001974178