login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A222011 Dimensions of finite-dimensional real division algebras. 1
1, 2, 4, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In 1958 Michel Kervaire and John Milnor independently proved that any finite-dimensional real division algebra must be of dimension 1, 2, 4, or 8.

LINKS

Table of n, a(n) for n=0..3.

Wikipedia, Division algebra

FORMULA

a(n) = 2^n = A222010(n) + 1 for n = 0, 1, 2, 3.

EXAMPLE

The real, complex, quaternion, and Cayley numbers are real division algebras of dimensions 1, 2, 4, 8, respectively, so those are members.

CROSSREFS

Cf. A222010.

Sequence in context: A103009 A174393 A153662 * A063864 A186036 A186040

Adjacent sequences:  A222008 A222009 A222010 * A222012 A222013 A222014

KEYWORD

nonn,fini,full

AUTHOR

Jonathan Sondow, Feb 06 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 20:19 EDT 2020. Contains 337173 sequences. (Running on oeis4.)