Standard

Hopf-theoretic approach to motives of twisted flag varieties. / Petrov, Victor; Semenov, Nikita.

в: Compositio Mathematica, Том 157, № 5, PII S0010437X2100703X, 29.04.2021, стр. 963-996.

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

Harvard

Petrov, V & Semenov, N 2021, 'Hopf-theoretic approach to motives of twisted flag varieties', Compositio Mathematica, Том. 157, № 5, PII S0010437X2100703X, стр. 963-996. https://doi.org/10.1112/S0010437X2100703X

APA

Petrov, V., & Semenov, N. (2021). Hopf-theoretic approach to motives of twisted flag varieties. Compositio Mathematica, 157(5), 963-996. [PII S0010437X2100703X]. https://doi.org/10.1112/S0010437X2100703X

Vancouver

Petrov V, Semenov N. Hopf-theoretic approach to motives of twisted flag varieties. Compositio Mathematica. 2021 Апр. 29;157(5):963-996. PII S0010437X2100703X. https://doi.org/10.1112/S0010437X2100703X

Author

Petrov, Victor ; Semenov, Nikita. / Hopf-theoretic approach to motives of twisted flag varieties. в: Compositio Mathematica. 2021 ; Том 157, № 5. стр. 963-996.

BibTeX

@article{8c3dff1150fe429eadc174543db16ad1,
title = "Hopf-theoretic approach to motives of twisted flag varieties",
abstract = "Let be a split semisimple algebraic group over a field and let be an oriented cohomology theory in the Levine-Morel sense. We provide a uniform approach to the -motives of geometrically cellular smooth projective -varieties based on the Hopf algebra structure of. Using this approach, we provide various applications to the structure of motives of twisted flag varieties.",
keywords = "Hopf algebras, linear algebraic groups, motives, oriented cohomology theories, twisted flag varieties, REPRESENTATIONS, OPERATIONS, ORIENTED COHOMOLOGY, TORSION, J-INVARIANT, DECOMPOSITIONS, COMPACT, LIE-GROUPS",
author = "Victor Petrov and Nikita Semenov",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2021. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = apr,
day = "29",
doi = "10.1112/S0010437X2100703X",
language = "English",
volume = "157",
pages = "963--996",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "5",

}

RIS

TY - JOUR

T1 - Hopf-theoretic approach to motives of twisted flag varieties

AU - Petrov, Victor

AU - Semenov, Nikita

N1 - Publisher Copyright: © The Author(s) 2021. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/4/29

Y1 - 2021/4/29

N2 - Let be a split semisimple algebraic group over a field and let be an oriented cohomology theory in the Levine-Morel sense. We provide a uniform approach to the -motives of geometrically cellular smooth projective -varieties based on the Hopf algebra structure of. Using this approach, we provide various applications to the structure of motives of twisted flag varieties.

AB - Let be a split semisimple algebraic group over a field and let be an oriented cohomology theory in the Levine-Morel sense. We provide a uniform approach to the -motives of geometrically cellular smooth projective -varieties based on the Hopf algebra structure of. Using this approach, we provide various applications to the structure of motives of twisted flag varieties.

KW - Hopf algebras

KW - linear algebraic groups

KW - motives

KW - oriented cohomology theories

KW - twisted flag varieties

KW - REPRESENTATIONS

KW - OPERATIONS

KW - ORIENTED COHOMOLOGY

KW - TORSION

KW - J-INVARIANT

KW - DECOMPOSITIONS

KW - COMPACT

KW - LIE-GROUPS

UR - http://www.scopus.com/inward/record.url?scp=85105103777&partnerID=8YFLogxK

U2 - 10.1112/S0010437X2100703X

DO - 10.1112/S0010437X2100703X

M3 - Article

AN - SCOPUS:85105103777

VL - 157

SP - 963

EP - 996

JO - Compositio Mathematica

JF - Compositio Mathematica

SN - 0010-437X

IS - 5

M1 - PII S0010437X2100703X

ER -

ID: 78274376