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On the Hochschild cohomology of universal enveloping associative conformal algebras. / Alhussein, H.; Kolesnikov, P.

в: Journal of Mathematical Physics, Том 62, № 12, 121701, 01.12.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Alhussein, H & Kolesnikov, P 2021, 'On the Hochschild cohomology of universal enveloping associative conformal algebras', Journal of Mathematical Physics, Том. 62, № 12, 121701. https://doi.org/10.1063/5.0065581

APA

Alhussein, H., & Kolesnikov, P. (2021). On the Hochschild cohomology of universal enveloping associative conformal algebras. Journal of Mathematical Physics, 62(12), [121701]. https://doi.org/10.1063/5.0065581

Vancouver

Alhussein H, Kolesnikov P. On the Hochschild cohomology of universal enveloping associative conformal algebras. Journal of Mathematical Physics. 2021 дек. 1;62(12):121701. doi: 10.1063/5.0065581

Author

Alhussein, H. ; Kolesnikov, P. / On the Hochschild cohomology of universal enveloping associative conformal algebras. в: Journal of Mathematical Physics. 2021 ; Том 62, № 12.

BibTeX

@article{c0f4b18567cd440ba5e257064c6214cc,
title = "On the Hochschild cohomology of universal enveloping associative conformal algebras",
abstract = "We calculate the second Hochschild cohomology group with scalar coefficients for the universal enveloping associative conformal algebra of the Virasoro conformal algebra relative to the locality N = 3 on the generator. For the associative conformal envelope corresponding to smaller locality N = 2, i.e., for the Weyl conformal algebra, we show that all Hochschild cohomologies with scalar coefficients are vanishing.",
author = "H. Alhussein and P. Kolesnikov",
note = "Publisher Copyright: {\textcopyright} 2021 Author(s).",
year = "2021",
month = dec,
day = "1",
doi = "10.1063/5.0065581",
language = "English",
volume = "62",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "12",

}

RIS

TY - JOUR

T1 - On the Hochschild cohomology of universal enveloping associative conformal algebras

AU - Alhussein, H.

AU - Kolesnikov, P.

N1 - Publisher Copyright: © 2021 Author(s).

PY - 2021/12/1

Y1 - 2021/12/1

N2 - We calculate the second Hochschild cohomology group with scalar coefficients for the universal enveloping associative conformal algebra of the Virasoro conformal algebra relative to the locality N = 3 on the generator. For the associative conformal envelope corresponding to smaller locality N = 2, i.e., for the Weyl conformal algebra, we show that all Hochschild cohomologies with scalar coefficients are vanishing.

AB - We calculate the second Hochschild cohomology group with scalar coefficients for the universal enveloping associative conformal algebra of the Virasoro conformal algebra relative to the locality N = 3 on the generator. For the associative conformal envelope corresponding to smaller locality N = 2, i.e., for the Weyl conformal algebra, we show that all Hochschild cohomologies with scalar coefficients are vanishing.

UR - http://www.scopus.com/inward/record.url?scp=85121113153&partnerID=8YFLogxK

U2 - 10.1063/5.0065581

DO - 10.1063/5.0065581

M3 - Article

AN - SCOPUS:85121113153

VL - 62

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

M1 - 121701

ER -

ID: 35033257