Integral invariant lattices in lie algebras of type

K. S. Abdukhalikov

doi:10.1070/SM1994v078n02ABEH003480

Integral invariant lattices in lie algebras of type

K. S. Abdukhalikov

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

3 Citations (Scopus)

Abstract

Integral invariant lattices associated with the standard orthogonal decomposition of a Lie algebra of type are described up to similarity. Duality in the class of invariant lattices is studied. Even unimodular root-free lattices of dimension are distinguished.

Original language	English
Pages (from-to)	447-478
Number of pages	32
Journal	Sbornik Mathematics
Volume	78
Issue number	2
DOIs	https://doi.org/10.1070/SM1994v078n02ABEH003480
Publication status	Published - Feb 28 1994
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1070/SM1994v078n02ABEH003480

Cite this

@article{a5850dec1e564ca098fc1d08768659a6,

title = "Integral invariant lattices in lie algebras of type",

abstract = "Integral invariant lattices associated with the standard orthogonal decomposition of a Lie algebra of type are described up to similarity. Duality in the class of invariant lattices is studied. Even unimodular root-free lattices of dimension are distinguished.",

author = "Abdukhalikov, {K. S.}",

year = "1994",

month = feb,

day = "28",

doi = "10.1070/SM1994v078n02ABEH003480",

language = "English",

volume = "78",

pages = "447--478",

journal = "Sbornik Mathematics",

issn = "1064-5616",

publisher = "Turpion Ltd.",

number = "2",

}

TY - JOUR

T1 - Integral invariant lattices in lie algebras of type

AU - Abdukhalikov, K. S.

PY - 1994/2/28

Y1 - 1994/2/28

N2 - Integral invariant lattices associated with the standard orthogonal decomposition of a Lie algebra of type are described up to similarity. Duality in the class of invariant lattices is studied. Even unimodular root-free lattices of dimension are distinguished.

AB - Integral invariant lattices associated with the standard orthogonal decomposition of a Lie algebra of type are described up to similarity. Duality in the class of invariant lattices is studied. Even unimodular root-free lattices of dimension are distinguished.

UR - http://www.scopus.com/inward/record.url?scp=0345926832&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345926832&partnerID=8YFLogxK

U2 - 10.1070/SM1994v078n02ABEH003480

DO - 10.1070/SM1994v078n02ABEH003480

M3 - Article

AN - SCOPUS:0345926832

SN - 1064-5616

VL - 78

SP - 447

EP - 478

JO - Sbornik Mathematics

JF - Sbornik Mathematics

IS - 2

ER -

Integral invariant lattices in lie algebras of type

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this