Unitary symbols and factorization hyperbolic matrices
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 111-119 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

In this paper we introduce and study unitary symbols, and as application we obtain a factorization of hyperbolic matrices.
@article{ZNSL_2018_470_a6,
     author = {V. I. Kopeiko},
     title = {Unitary symbols and factorization hyperbolic matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--119},
     year = {2018},
     volume = {470},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a6/}
}
TY  - JOUR
AU  - V. I. Kopeiko
TI  - Unitary symbols and factorization hyperbolic matrices
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2018
SP  - 111
EP  - 119
VL  - 470
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a6/
LA  - ru
ID  - ZNSL_2018_470_a6
ER  - 
%0 Journal Article
%A V. I. Kopeiko
%T Unitary symbols and factorization hyperbolic matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 2018
%P 111-119
%V 470
%U http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a6/
%G ru
%F ZNSL_2018_470_a6
V. I. Kopeiko. Unitary symbols and factorization hyperbolic matrices. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 111-119. http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a6/

[1] V. I. Kopeiko, “Transfer unitarnogo $K_1$-funktora pri polinomialnykh rasshireniyakh kolets”, Algebra i analiz, 29:3 (2017), 34–60 | MR

[2] H. Bass, “Unitary algebraic $K$-theory”, Lecture Notes Math., 343, 1973, 57–265 | DOI | MR | Zbl

[3] V. I. Kopeiko, “Nilpotentnaya po Bassu unitarnaya $K_1$-gruppa unitarnogo koltsa”, Zap. nauchn. semin. POMI, 460, 2017, 134–157 | MR

[4] Kh. Bass, Dzh. Milnor, Zh.-P. Serr, “Reshenie kongruentsproblemy dlya $\mathrm{SL}_n$ ($n\geq3$) i $\mathrm{Sp}_{2n}$ ($n\geq2$)”, Matematika, Sb. per., 15, 1971, 44–60 | Zbl

[5] Kh. Bass, Algebraicheskaya $K$-teoriya, Mir, M., 1973 | Zbl