Kodai Mathematical Journal

Note on restriction maps of Chow rings to Weyl group invariants

Nobuaki Yagita

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Let $G$ be an algebraic group over $\mathbf{C}$ corresponding a compact simply connected Lie group. When $H^{*}(G)$ has $p$-torsion, we see $ρ^{*}_{CH} : CH^{*}(BG) → CH^{*}(BT)^{W_{G}(T)}$ is always not surjective. We also study the algebraic cobordism version $ρ^{*}_{Ω}$. In particular when $G = Spin(7)$ and $p = 2$, we see each Griffiths element in $CH^{*}(BG)$ is detected by an element in $Ω^{*}(BT)$.

Article information

Kodai Math. J., Volume 40, Number 3 (2017), 537-552.

Received: 28 July 2016
Revised: 10 January 2017
First available in Project Euclid: 31 October 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55N20: Generalized (extraordinary) homology and cohomology theories 55R12: Transfer 55R40: Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20]

Chow ring algebraic cobordism $BSpin(n)$


Yagita, Nobuaki. Note on restriction maps of Chow rings to Weyl group invariants. Kodai Math. J. 40 (2017), no. 3, 537--552. doi:10.2996/kmj/1509415231. https://projecteuclid.org/euclid.kmj/1509415231

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