I. A. Panin, “Splitting principle and $K$-theory of simply connected semisimple algebraic groups”, Algebra i Analiz, 10:1 (1998), 88–131; St. Petersburg Math. J., 10:1 (1999), 68

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Algebra i Analiz, 1998, Volume 10, Issue 1, Pages 88–131 (Mi aa974)

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

Splitting principle and $K$-theory of simply connected semisimple algebraic groups

I. A. Panin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full-text PDF (1699 kB) Citations (10)

Received: 24.12.1996

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: I. A. Panin, “Splitting principle and $K$-theory of simply connected semisimple algebraic groups”, Algebra i Analiz, 10:1 (1998), 88–131; St. Petersburg Math. J., 10:1 (1999), 68–101

Citation in format AMSBIB

\Bibitem{Pan98}

\by I.~A.~Panin

\paper Splitting principle and $K$-theory of simply connected semisimple algebraic groups

\jour Algebra i Analiz

\yr 1998

\vol 10

\issue 1

\pages 88--131

\mathnet{http://mi.mathnet.ru/aa974}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1618404}

\zmath{https://zbmath.org/?q=an:0909.19002}

\transl

\jour St. Petersburg Math. J.

\yr 1999

\vol 10

\issue 1

\pages 68--101

Linking options:

https://www.mathnet.ru/eng/aa974

https://www.mathnet.ru/eng/aa/v10/i1/p88

This publication is cited in the following 10 articles:

I. Losev, I. Panin, “Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras”, Mosc. Math. J., 21:2 (2021), 383–399
Gille Ph., “Semi-Simple Algebraic Groups in Cohomological Dimension <= 2 Preface”: Gille, P, Semisimple Algebraic Groups in Cohomological Dimension (Less Than Or Equal to)2, Lect. Notes Math., Lecture Notes in Mathematics, 2238, Springer International Publishing Ag, 2019, V+
Karpenko N.A., Merkurjev A.S., “Motivic Decomposition of Compactifications of Certain Group Varieties”, J. Reine Angew. Math., 745 (2018), 41–58
M. S. Yakerson, “Algebraic K-theory of the varieties $\mathrm{SL_{2n}/Sp}_{2n}$, $\mathrm{E_6/F}_4$ and their twisted forms”, St. Petersburg Math. J., 28:3 (2017), 421–431
Fino R., “Rationality of Algebraic Cycles Over Function Field of Sl1 (a)-Torsors”, J. Algebra, 440 (2015), 594–601
Neshitov A., “Motives and Oriented Cohomology of Generically Cellular Varieties”, Homol. Homotopy Appl., 16:2 (2014), 275–288
Ananyevskiy A., “On the Algebraic K-Theory of Some Homogeneous Varieties”, Doc. Math., 17 (2012), 167–193
Wouters T., “The invariant to Suslin in a positive characteristic”, Journal of K-Theory, 5:3 (2010), 559–602
O. B. Podkopaev, “On Grothendieck group of simply connected semisimple algebraic groups”, J. Math. Sci. (N. Y.), 140:5 (2007), 729–736
Gille, P, “Rost cohomological variants with positive characteristic”, K-Theory, 21:1 (2000), 57

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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