Hopf-theoretic approach to motives of twisted flag varieties

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

In: Compositio Mathematica, Vol. 157, No. 5, PII S0010437X2100703X, 29.04.2021, p. 963-996.

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

Author

Petrov, Victor ; Semenov, Nikita. / Hopf-theoretic approach to motives of twisted flag varieties. In: Compositio Mathematica. 2021 ; Vol. 157, No. 5. pp. 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",

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

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