On the Hochschild cohomology of universal enveloping associative conformal algebras

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

In: Journal of Mathematical Physics, Vol. 62, No. 12, 121701, 01.12.2021.

Research output: Contribution to journal › Article › peer-review

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.

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