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Results in Mathematics, ISSN 1422-6383, 12/2019, Volume 74, Issue 4, pp. 1 - 16
In this paper, we realize polynomial $$\mathcal {H}$$ H -modules $$\Omega (\lambda ,\alpha ,\beta )$$ Ω(λ,α,β) from irreducible twisted Heisenberg–Virasoro... 
17B68 | tensor product module | 17B10 | 17B65 | Mathematics, general | Mathematics | Twisted Heisenberg–Virasoro algebra | irreducible module | Twisted Heisenberg-Virasoro algebra | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHT MODULES | CLASSIFICATION | Algebra
Journal Article
Communications in Algebra, ISSN 0092-7872, 06/2018, Volume 46, Issue 6, pp. 2346 - 2355
In this paper, the biderivations without the skew-symmetric condition of the twisted Heisenberg-Virasoro algebra are presented. We find some non-inner and... 
post-Lie algebra | twisted Heisenberg-Virasoro algebra | Biderivation | linear commuting maps | left-symmetric algebra | twisted Heisenberg–Virasoro algebra | MATHEMATICS | W(A | LIE-ALGEBRA | SUPER-BIDERIVATIONS | Quantum theory | Algebra | Lie groups
Journal Article
GLASNIK MATEMATICKI, ISSN 0017-095X, 12/2019, Volume 54, Issue 2, pp. 369 - 407
In this paper, we study a new kind of vertex operator algebras related to twisted Heisenberg-Virasoro algebra. We showed that there exist one-to-one... 
LIE-ALGEBRAS | MATHEMATICS | vertex operator algebra | MATHEMATICS, APPLIED | REPRESENTATIONS | REGULARITY | AFFINE | Twisted Heisenber-Virasoro algebia | modules | RATIONALITY | Twisted Heisenberg-Virasoro algebra, vertex operator algebra, modules
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 04/2010, Volume 12, Issue 2, pp. 183 - 205
In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg–Virasoro algebra are determined. There are two... 
MATHEMATICS | MATHEMATICS, APPLIED | Virasoro algebra | weight module | twisted Heisenberg-Virasoro algebra | HARISH-CHANDRA MODULES | LIE-ALGEBRA | ADMISSIBLE MODULES | Algebra | Mathematical analysis | Modules | Classification
Journal Article
Journal of Algebra, ISSN 0021-8693, 06/2012, Volume 359, pp. 35 - 48
In this paper we investigate Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra. With the determination of certain Lie bialgebra structures on... 
Yang–Baxter equation | Lie bialgebra | Twisted Heisenberg–Virasoro algebra | Twisted Heisenberg-Virasoro algebra | Yang-Baxter equation | MATHEMATICS | CLASSIFICATION | WITT | Algebra
Journal Article
中国科学:数学英文版, ISSN 1674-7283, 2014, Volume 57, Issue 3, pp. 469 - 476
Journal Article
Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, 10/2014, Volume 21, Issue 4, pp. 584 - 592
In this paper, we first construct an analogue of the Sugawara operators for the twisted Heisenberg-Virasoro algebra. By using these operators, we show that... 
Twisted Heisenberg-Virasoro algebra | Sugawara operators | unitary representations | affine Lie algebras | Affine Lie algebras | Unitary representations | MATHEMATICS, APPLIED | 17B68 | CONFORMAL-INVARIANCE | 17B65 | PHYSICS, MATHEMATICAL
Journal Article
Communications in Algebra, ISSN 0092-7872, 02/2020, pp. 1 - 10
Journal Article
ALGEBRA COLLOQUIUM, ISSN 1005-3867, 09/2019, Volume 26, Issue 3, pp. 529 - 540
The conjugate-linear anti-involutions and unitary irreducible modules of the intermediate series over the twisted Heisenberg-Virasoro algebra are classified,... 
SPACE | MATHEMATICS | MATHEMATICS, APPLIED | IRREDUCIBLE WEIGHT MODULES | REPRESENTATIONS | twisted Heisenberg-Virasoro algebra | CLASSIFICATION | Harish-Chandra module | conjugate-linear anti-involution | unitary module
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 1/2007, Volume 23, Issue 1, pp. 189 - 192
We show that the support of an irreducible weight module over the twisted Heisenberg– Virasoro algebra, which has an infinite–dimensional weight space,... 
17B56 | 17B68 | the twisted Heisenberg–Virasoro algebra | Mathematics, general | Mathematics | weight modules | support | Support | Weight modules | The twisted Heisenberg-Virasoro algebra | MATHEMATICS | MATHEMATICS, APPLIED | REPRESENTATIONS | the twisted Heisenberg-Virasoro algebra | Studies | Mathematical functions | Algebra | Lattices | Modules | Classification
Journal Article
Algebra Colloquium, ISSN 1005-3867, 03/2007, Volume 14, Issue 1, pp. 117 - 134
An explicit construction of indecomposable modules for the twisted Heisenberg-Virasoro algebra and representations for the full toroidal Lie algebras are given. 
Twisted Heisenberg-Virasoro algebra | Toroidal Lie algebra | Irreducible module | toroidal Lie algebra | MATHEMATICS | MATHEMATICS, APPLIED | VERTEX OPERATOR REPRESENTATIONS | BASIC REPRESENTATIONS | twisted Heisenberg-Virasoro algebra | IRREDUCIBLE REPRESENTATIONS | irreducible module
Journal Article
Acta Mathematica Sinica, Chinese Series, ISSN 0583-1431, 11/2016, Volume 59, Issue 6, pp. 775 - 782
Journal Article
Communications in Algebra, ISSN 0092-7872, 08/2006, Volume 34, Issue 7, pp. 2547 - 2558
In this article, we give the derivation algebra Der ℒ and the automorphism group Aut ℒ of the twisted Heisenberg-Virasoro algebra ℒ. 
Twisted Heisenberg-Virasoro algebra | Derivation algebra | Automorphism group | 17B | MATHEMATICS | twisted Heisenberg-Virasoro algebra | automorphism group | derivation algebra
Journal Article
by Chi, LL and Sun, JC
ALGEBRA COLLOQUIUM, ISSN 1005-3867, 06/2019, Volume 26, Issue 2, pp. 285 - 308
In this paper, we mainly determine the compatible left-symmetric algebra structures on the planar Galilean conformal algebra with some natural grading... 
MATHEMATICS | twisted Heisenberg-Virasoro algebra | MATHEMATICS, APPLIED | WITT | left-symmetric algebra | planar Galilean conformal algebra
Journal Article
Journal of Applied Analysis, ISSN 1425-6908, 12/2005, Volume 11, Issue 2, pp. 261 - 282
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 04/2010, Volume 12, Issue 2, pp. 183 - 205
Journal Article
Frontiers of Mathematics in China, ISSN 1673-3452, 10/2009, Volume 4, Issue 4, pp. 627 - 635
In this paper, we obtain all the Leibniz 2-cocycles of the twisted N = 2 superconformal algebra L, which determine its second Leibniz cohomology group. 
Twisted N = 2 superconformal algebra | Leibniz 2-cocycle | LIE-ALGEBRAS | MATHEMATICS | Twisted N=2 superconformal algebra | CENTRAL EXTENSIONS | Studies | Mathematical analysis | Algebra
Journal Article
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