Stabilization of Unitary and Orthogonal groups Over a Ring with Involution

L. N. Vaseršteῐn

doi:10.1070/SM1970v010n03ABEH001673

Stabilization of Unitary and Orthogonal groups Over a Ring with Involution

L. N. Vaseršteῐn

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

Orthogonal and unitary groups over an associative ring with involution are examined. Using these groups, orthogonal and unitary K₁-functors are introduced which are similar to general K₁-functors associated with a general linear group over a ring. Results are obtained about stabilization of orthogonal and unitary groups.

Original language	English (US)
Pages (from-to)	307-326
Number of pages	20
Journal	Mathematics of the USSR - Sbornik
Volume	10
Issue number	3
DOIs	https://doi.org/10.1070/SM1970v010n03ABEH001673
State	Published - Apr 30 1970

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/SM1970v010n03ABEH001673

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title = "Stabilization of Unitary and Orthogonal groups Over a Ring with Involution",

abstract = "Orthogonal and unitary groups over an associative ring with involution are examined. Using these groups, orthogonal and unitary K1-functors are introduced which are similar to general K1-functors associated with a general linear group over a ring. Results are obtained about stabilization of orthogonal and unitary groups.",

author = "Vaser{\v s}teῐn, \{L. N.\}",

year = "1970",

month = apr,

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doi = "10.1070/SM1970v010n03ABEH001673",

language = "English (US)",

volume = "10",

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journal = "Mathematics of the USSR - Sbornik",

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publisher = "Steklov Mathematical Institute of Russian Academy of Sciences",

number = "3",

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T1 - Stabilization of Unitary and Orthogonal groups Over a Ring with Involution

AU - Vaseršteῐn, L. N.

PY - 1970/4/30

Y1 - 1970/4/30

N2 - Orthogonal and unitary groups over an associative ring with involution are examined. Using these groups, orthogonal and unitary K1-functors are introduced which are similar to general K1-functors associated with a general linear group over a ring. Results are obtained about stabilization of orthogonal and unitary groups.

AB - Orthogonal and unitary groups over an associative ring with involution are examined. Using these groups, orthogonal and unitary K1-functors are introduced which are similar to general K1-functors associated with a general linear group over a ring. Results are obtained about stabilization of orthogonal and unitary groups.

UR - https://www.scopus.com/pages/publications/84956274277

UR - https://www.scopus.com/pages/publications/84956274277#tab=citedBy

U2 - 10.1070/SM1970v010n03ABEH001673

DO - 10.1070/SM1970v010n03ABEH001673

M3 - Article

AN - SCOPUS:84956274277

SN - 0025-5734

VL - 10

SP - 307

EP - 326

JO - Mathematics of the USSR - Sbornik

JF - Mathematics of the USSR - Sbornik

IS - 3

ER -

Stabilization of Unitary and Orthogonal groups Over a Ring with Involution

Abstract

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