A constructive method for decomposing real representations

被引：1

作者：

Ali, Sajid ^{[1
]}

Azad, Hassan ^{[2
]}

Biswas, Indranil ^{[3
]}

de Graaf, Willem A. ^{[4
]}

机构：

[1] Zayed Univ, Dept Math & Stat, Dubai, U Arab Emirates

[2] GC Univ Lahore, Abdus Salam Sch Math Sci, 68-B New Muslim Town, Lahore 54600, Pakistan

[3] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, Maharashtra, India

[4] Dipartimento Matemat, Via Sommar 14, I-38123 Povo, Trento, Italy

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2021年 / 104卷

关键词：

Lie algebras; Weyl group; Real representation; Highest weights; Joint-invariants;

D O I：

10.1016/j.jsc.2020.06.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A constructive method for decomposing finite dimensional representations of semisimple real Lie algebras is developed. The method is illustrated by an example. We also discuss an implementation of the algorithm in the language of the computer algebra system GAP4. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：328 / 342

页数：15

共 50 条

[1] CONSTRUCTIVE REPRESENTATIONS OF REAL NUMBERS AND SEQUENCES
HAUCK, J
[J]. ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1978, 24 (04): : 365 - 374
[2] A constructive method for plane-wave representations of special functions
Crowdy, Darren
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 436 (01) : 149 - 167
[3] Constructive representations of volumetric environments
Chen, M
Tucker, JV
Leu, A
[J]. VOLUME GRAPHICS, 2000, : 97 - +
[4] Decomposing monomial representations of solvable groups
Püschel, M
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2002, 34 (06) : 561 - 596
[5] FORMATION OF RASTER GRAPHIC REPRESENTATIONS OF SPATIAL OBJECTS, BUILT BY THE METHOD OF CONSTRUCTIVE GEOMETRY
BOBKOV, VA
KISLYUK, OS
KHAMIDULIN, AV
[J]. PROGRAMMING AND COMPUTER SOFTWARE, 1989, 15 (03) : 151 - 154
[6] Towards "Inverse" Character Tables? A One-Step Method for Decomposing Reducible Representations
Piquemal, J. -Y.
Losno, R.
Ancian, B.
[J]. JOURNAL OF CHEMICAL EDUCATION, 2009, 86 (02) : 251 - 253
[7] COMPARING THE THEORY OF REPRESENTATIONS AND CONSTRUCTIVE MATHEMATICS
TROELSTRA, AS
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1992, 626 : 382 - 395
[8] CONSTRUCTIVE REPRESENTATIONS OF CERTAIN CLOSEST APPROXIMATIONS
APPLING, WDL
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1982, 131 : 187 - 202
[9] DECOMPOSING SIMPLE OUTLINES INTO CONSTRUCTIVE GEOMETRY BINARY TREES.
Filip, Daniel J.
Pickett, Mary S.
[J]. Research Publication - General Motors Research Laboratories, 1984,
[10] Constructive nonstandard representations of generalized functions
Palmgren, E
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2000, 11 (01): : 129 - 138

← 1 2 3 4 5 →