Universal -lattices of minimal rank

Author:
Byeong-Kweon Oh

Journal:
Proc. Amer. Math. Soc. **128** (2000), 683-689

MSC (1991):
Primary 11E12, 11H06

Published electronically:
July 6, 1999

MathSciNet review:
1654105

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Abstract: Let be the minimal rank of -universal -lattices, by which we mean positive definite -lattices which represent all positive -lattices of rank . It is a well known fact that for . In this paper, we determine and find all -universal lattices of rank for .

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Additional Information

**Byeong-Kweon Oh**

Email:
oandhan@math.snu.ac.kr

DOI:
http://dx.doi.org/10.1090/S0002-9939-99-05254-5

Keywords:
$n$-universal lattice,
$U_{\mathbb{Z}}(n)$,
root lattice,
additively indecomposable

Received by editor(s):
April 27, 1998

Published electronically:
July 6, 1999

Additional Notes:
The author was partially supported by GARC and BSRI-98-1414

Communicated by:
David E. Rohrlich

Article copyright:
© Copyright 1999
American Mathematical Society