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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 330, Pages 223–235 (Mi znsl287)  
On Grothendieck group of simply connected semisimple algebraic groups

O. B. Podkopaev

Saint-Petersburg State University
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Abstract: The $K_0$ groups of simply connected semisimple algebraic groups are calculated. The triviality of Chow groups $CH^1$ and $CH^2$ of such groups is obtained as a corollary.
Received: 10.12.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 5, Pages 729–736
DOI: https://doi.org/10.1007/s10958-007-0012-x
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: O. B. Podkopaev, “On Grothendieck group of simply connected semisimple algebraic groups”, Problems in the theory of representations of algebras and groups. Part 13, Zap. Nauchn. Sem. POMI, 330, POMI, St. Petersburg, 2006, 223–235; J. Math. Sci. (N. Y.), 140:5 (2007), 729–736
Citation in format AMSBIB
\Bibitem{Pod06}
\by O.~B.~Podkopaev
\paper On Grothendieck group of simply connected semisimple algebraic groups
\inbook Problems in the theory of representations of algebras and groups. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 330
\pages 223--235
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2253575}
\zmath{https://zbmath.org/?q=an:1104.19001}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 5
\pages 729--736
\crossref{https://doi.org/10.1007/s10958-007-0012-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846160917}
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