Graded contractions of representations of Lie algebras

被引：2

作者：

Novotny, Petr ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Phys, CR-11519 Prague 1, Czech Republic

来源：

7TH INTERNATIONAL CONFERENCE ON QUANTUM THEORY AND SYMMETRIES (QTS7) | 2012年 / 343卷

关键词：

DISCRETE; E(2);

D O I：

10.1088/1742-6596/343/1/012089

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The concept of graded contractions for representations of Lie algebras will be presented. An explicit example of graded contractions of all irreducible finite-dimensional representations of sl(2, C) to representations of Euclidean algebra e(2) will be described in detail.

引用

页数：8

共 50 条

[1] DISCRETE AND CONTINUOUS GRADED CONTRACTIONS OF REPRESENTATIONS OF LIE-ALGEBRAS
MOODY, RV
PATERA, J
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (10): : 2227 - 2257
[2] THE COMPUTER CALCULATION OF GRADED CONTRACTIONS OF LIE-ALGEBRAS AND THEIR REPRESENTATIONS
BERUBE, D
DEMONTIGNY, M
[J]. COMPUTER PHYSICS COMMUNICATIONS, 1993, 76 (03) : 389 - 410
[3] REPRESENTATIONS OF GRADED LIE ALGEBRAS
ROSS, LE
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 120 (01) : 17 - &
[4] Graded representations of graded Lie algebras and generalized representations of Jordan algebras
Kantor, I
Shpiz, G
[J]. Noncommutative Geometry and Representation Theory in Mathematical Physics, 2005, 391 : 167 - 174
[5] Graded contractions of affine Lie algebras
deMontigny, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (14): : 4019 - 4034
[6] Graded contractions of filiform Lie algebras
Escobar, Jose M.
Nunez Valdes, Juan
Perez-Fernandez, Pedro
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7195 - 7201
[7] Graded contractions of Jordan algebras and of their representations
Kashuba, I
Patera, J
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (50): : 12453 - 12473
[8] REPRESENTATIONS OF GRADED MULTILOOP LIE ALGEBRAS
Pal, Tanusree
Batra, Punita
[J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (01) : 49 - 67
[9] Graded contractions of Lie algebras and central extensions
de Montigny, M
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2000, 50 (11) : 1297 - 1302
[10] Graded contractions of Lie algebras and central extensions
de Montigny, M
de Guise, H
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2001, 51 (04) : 365 - 374

← 1 2 3 4 5 →