Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra
نویسندگان
چکیده
منابع مشابه
The Schrödinger-virasoro Type Lie Bialgebra: a Twisted Case
Abstract. In this paper we investigate Lie bialgebra structures on a twisted Schrödinger-Virasoro type algebra L. All Lie bialgebra structures on L are triangular coboundary, which is different from the relative result on the original Schrödinger-Virasoro type Lie algebra. In particular, we find for this Lie algebra that there are more hidden inner derivations from itself to L⊗L and we develop ...
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Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.
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متن کاملlie triple derivation algebra of virasoro-like algebra
let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.
متن کاملLie bialgebra structures on the W - algebra W ( 2 , 2 ) 1
Abstract. Verma modules over the W -algebra W (2, 2) were considered by Zhang and Dong, while the Harish-Chandra modules and irreducible weight modules over the same algebra were classified by Liu and Zhu etc. In the present paper we shall investigate the Lie bialgebra structures on the referred algebra, which are shown to be triangular coboundary.
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ژورنال
عنوان ژورنال: Algebra Colloquium
سال: 2011
ISSN: 1005-3867,0219-1733
DOI: 10.1142/s1005386711000563