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Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞. / Назаров, Антон Андреевич; Постнова, Ольга Викторовна; Никитин, Павел Павлович.

In: Journal of Mathematical Sciences, Vol. 261, No. 5, 02.04.2022, p. 658-668.

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

Harvard

Назаров, АА, Постнова, ОВ & Никитин, ПП 2022, 'Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞', Journal of Mathematical Sciences, vol. 261, no. 5, pp. 658-668. https://doi.org/10.1007/s10958-022-05778-z

APA

Назаров, А. А., Постнова, О. В., & Никитин, П. П. (2022). Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞. Journal of Mathematical Sciences, 261(5), 658-668. https://doi.org/10.1007/s10958-022-05778-z

Vancouver

Назаров АА, Постнова ОВ, Никитин ПП. Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞. Journal of Mathematical Sciences. 2022 Apr 2;261(5):658-668. https://doi.org/10.1007/s10958-022-05778-z

Author

Назаров, Антон Андреевич ; Постнова, Ольга Викторовна ; Никитин, Павел Павлович. / Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞. In: Journal of Mathematical Sciences. 2022 ; Vol. 261, No. 5. pp. 658-668.

BibTeX

@article{781678888598495ea20caa8f4e98784d,
title = "Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞",
abstract = "We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so 2n+1. With respect to this measure, the probability of an irreducible representation is the product of its multiplicity and dimension, divided by the total dimension of the tensor product. We study the limit shape of the highest weight as the tensor power N and the rank n of the algebra tend to infinity with N/n fixed. ",
author = "Назаров, {Антон Андреевич} and Постнова, {Ольга Викторовна} and Никитин, {Павел Павлович}",
year = "2022",
month = apr,
day = "2",
doi = "10.1007/s10958-022-05778-z",
language = "English",
volume = "261",
pages = "658--668",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n→∞

AU - Назаров, Антон Андреевич

AU - Постнова, Ольга Викторовна

AU - Никитин, Павел Павлович

PY - 2022/4/2

Y1 - 2022/4/2

N2 - We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so 2n+1. With respect to this measure, the probability of an irreducible representation is the product of its multiplicity and dimension, divided by the total dimension of the tensor product. We study the limit shape of the highest weight as the tensor power N and the rank n of the algebra tend to infinity with N/n fixed.

AB - We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so 2n+1. With respect to this measure, the probability of an irreducible representation is the product of its multiplicity and dimension, divided by the total dimension of the tensor product. We study the limit shape of the highest weight as the tensor power N and the rank n of the algebra tend to infinity with N/n fixed.

UR - http://www.scopus.com/inward/record.url?scp=85127589675&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/11415760-b607-3697-b024-00525723d26e/

U2 - 10.1007/s10958-022-05778-z

DO - 10.1007/s10958-022-05778-z

M3 - Article

VL - 261

SP - 658

EP - 668

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 94418229