scholarly journals Indecomposable modules of a family of solvable Lie algebras

2017 ◽  
Vol 531 ◽  
pp. 423-446 ◽  
Author(s):  
Paolo Casati ◽  
Andrea Previtali ◽  
Fernando Szechtman
Keyword(s):  
Lie Algebras ◽  
Indecomposable Modules ◽  
Solvable Lie Algebras

The rigidity of some solvable Lie algebras

2018 ◽  
Vol 2018 (2) ◽  
pp. 43-49
Author(s):  
R.K. Gaybullaev ◽  
Kh.A. Khalkulova ◽  
J.Q. Adashev
Keyword(s):  
Lie Algebras ◽  
Solvable Lie Algebras

Representations of filtered solvable Lie algebras

2012 ◽  
Vol 203 (1) ◽  
pp. 75-87
Author(s):  
Alexander N Panov
Keyword(s):  
Lie Algebras ◽  
Solvable Lie Algebras

On Weight Systems Derived from Heisenberg Lie Algebras

2003 ◽  
Vol 12 (05) ◽  
pp. 589-604
Author(s):  
Hideaki Nishihara
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Weight System ◽  
Infinite Dimensional ◽  
Conway Polynomial ◽  
Knot Invariant ◽  
Polynomial Representations ◽  
Solvable Lie Algebras

Weight systems are constructed with solvable Lie algebras and their infinite dimensional representations. With a Heisenberg Lie algebra and its polynomial representations, the derived weight system vanishes on Jacobi diagrams with positive loop-degree on a circle, and it is proved that the derived knot invariant is the inverse of the Alexander-Conway polynomial.

scholarly journals Non-singular derivations of solvable Lie algebras in prime characteristic

2020 ◽  
Vol 586 ◽  
pp. 170-189
Author(s):  
Marcos Goulart Lima ◽  
Csaba Schneider
Keyword(s):  
Lie Algebras ◽  
Prime Characteristic ◽  
Solvable Lie Algebras

scholarly journals Classification of Symmetry Lie Algebras of the Canonical Geodesic Equations of Five-Dimensional Solvable Lie Algebras

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1354 ◽  
Author(s):  
Hassan Almusawa ◽  
Ryad Ghanam ◽  
Gerard Thompson
Keyword(s):  
Lie Groups ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Vector Fields ◽  
Solvable Lie Groups ◽  
Related System ◽  
Geodesic Equations ◽  
Solvable Lie Algebras ◽  
Symmetry Algebras

In this investigation, we present symmetry algebras of the canonical geodesic equations of the indecomposable solvable Lie groups of dimension five, confined to algebras A 5 , 7 a b c to A 18 a . For each algebra, the related system of geodesics is provided. Moreover, a basis for the associated Lie algebra of the symmetry vector fields, as well as the corresponding nonzero brackets, are constructed and categorized.

Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras

2014 ◽  
Vol 21 (02) ◽  
pp. 295-306 ◽  
Author(s):  
Wei Wang ◽  
Ying Xu ◽  
Taijie You
Keyword(s):  
Lie Algebras ◽  
Indecomposable Modules ◽  
Intermediate Series

A classification of indecomposable modules of the intermediate series over the deformative Schrödinger-Virasoro Lie algebras is obtained.

Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras

2007 ◽  
Vol 14 (01) ◽  
pp. 117-134 ◽  
Author(s):  
Qifen Jiang ◽  
Cuipo Jiang
Keyword(s):  
Lie Algebras ◽  
Virasoro Algebra ◽  
Explicit Construction ◽  
Indecomposable Modules

An explicit construction of indecomposable modules for the twisted Heisenberg–Virasoro algebra and representations for the full toroidal Lie algebras are given.

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