Geodesic
Hermitian algebraic $K$-theory and the root system~$D$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 3, pp. 251-256

Voir la notice de l'article provenant de la source Math-Net.Ru

For the root system $D$, we construct an analog of the Wagoner complex used in his proof of the equivalence of $K^Q_*$ and $K^{BN}_*$ (linear) algebraic $K$-theories. We prove that the corresponding $K$-theory $KU^D_*$ for the even orthogonal group is naturally isomorphic to the $KU^{BN}_*$-theory constructed by Yu. P. Solovyov and A. I. Nemytov. 
@article{FPM_2015_20_3_a11,
     author = {Th. Yu. Popelensky},
     title = {Hermitian algebraic $K$-theory and the root system~$D$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {251--256},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_3_a11/}
}
TY  - JOUR
AU  - Th. Yu. Popelensky
TI  - Hermitian algebraic $K$-theory and the root system~$D$
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2015
SP  - 251
EP  - 256
VL  - 20
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2015_20_3_a11/
LA  - ru
ID  - FPM_2015_20_3_a11
ER  - 
%0 Journal Article
%A Th. Yu. Popelensky
%T Hermitian algebraic $K$-theory and the root system~$D$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2015
%P 251-256
%V 20
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2015_20_3_a11/
%G ru
%F FPM_2015_20_3_a11
Th. Yu. Popelensky. Hermitian algebraic $K$-theory and the root system~$D$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 3, pp. 251-256. http://geodesic.mathdoc.fr/item/FPM_2015_20_3_a11/