Real reductive Cayley groups of rank 1 and 2

Mikhail Borovoi

doi:10.1016/j.jalgebra.2015.03.034

Real reductive Cayley groups of rank 1 and 2

Mikhail Borovoi^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

A linear algebraic group G over a field K is called a Cayley K-group if it admits a Cayley map, i.e., a G-equivariant K-birational isomorphism between the group variety G and its Lie algebra. We classify real reductive algebraic groups of absolute rank 1 and 2 that are Cayley R-groups.

Original language	English
Pages (from-to)	35-60
Number of pages	26
Journal	Journal of Algebra
Volume	436
DOIs	https://doi.org/10.1016/j.jalgebra.2015.03.034
State	Published - 5 Aug 2015

Keywords

Algebraic surface
Cayley group
Cayley map
Elementary link
Equivariant birational isomorphism
Linear algebraic group

Access to Document

10.1016/j.jalgebra.2015.03.034

Cite this

@article{bdd83f59308940eda86048eeeab19641,

title = "Real reductive Cayley groups of rank 1 and 2",

abstract = "A linear algebraic group G over a field K is called a Cayley K-group if it admits a Cayley map, i.e., a G-equivariant K-birational isomorphism between the group variety G and its Lie algebra. We classify real reductive algebraic groups of absolute rank 1 and 2 that are Cayley R-groups.",

keywords = "Algebraic surface, Cayley group, Cayley map, Elementary link, Equivariant birational isomorphism, Linear algebraic group",

author = "Mikhail Borovoi",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = aug,

day = "5",

doi = "10.1016/j.jalgebra.2015.03.034",

language = "אנגלית",

volume = "436",

pages = "35--60",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Real reductive Cayley groups of rank 1 and 2

AU - Borovoi, Mikhail

PY - 2015/8/5

Y1 - 2015/8/5

N2 - A linear algebraic group G over a field K is called a Cayley K-group if it admits a Cayley map, i.e., a G-equivariant K-birational isomorphism between the group variety G and its Lie algebra. We classify real reductive algebraic groups of absolute rank 1 and 2 that are Cayley R-groups.

AB - A linear algebraic group G over a field K is called a Cayley K-group if it admits a Cayley map, i.e., a G-equivariant K-birational isomorphism between the group variety G and its Lie algebra. We classify real reductive algebraic groups of absolute rank 1 and 2 that are Cayley R-groups.

KW - Algebraic surface

KW - Cayley group

KW - Cayley map

KW - Elementary link

KW - Equivariant birational isomorphism

KW - Linear algebraic group

UR - http://www.scopus.com/inward/record.url?scp=84938486646&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2015.03.034

DO - 10.1016/j.jalgebra.2015.03.034

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84938486646

SN - 0021-8693

VL - 436

SP - 35

EP - 60

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Real reductive Cayley groups of rank 1 and 2

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this