논문KCI 등재
Subalgebras of a $q$-analog for the Virasoro algebra
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Abstract
We define subalgebras V_q^{mZ times nZ} of V_q where V_qare in the paper cite{KPS}. We show that the Lie algebra V_q^{mZtimes nZ} is simple and maximally abelian decomposing. We maydefine a Lie algebra is maximally abelian decomposing, if it has amaximally abelian decomposition of it. The F-algebraautomorphism group of the Laurent extension of the quantum planeis found in the paper cite{KPS}, so we find the Lie automorphismgroup of V_q^{mZtimes nZ} in this paper.
관련 논문AI추천
On the nilpotency of certain subalgebras of Kac-Moody algebras of type A_N^{(r)}Seungkeun Min, Yeonok Kim대한수학회 · 대한수학회논문집2003 · 제18권 제3호Highest weight vectors of irreducible representations of the quantum superalgebra $\uq\left(gl(m,n) \right)$문동호대한수학회 · 대한수학회지2003 · 제40권 제1호A Note on the Root Spaces of Affine Lie Algebras of Type $D_{l}^{(1)}$김연옥한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제1호FREE LIE SUPERALGEBRAS AND THE REPRESENTATIONS OF gl(m; n) AND q(n)권재훈대한수학회 · 대한수학회지2005 · 제42권 제2호Lie super-bialgebras on generalized loop super-Virasoro algebrasBin Xin, Xiansheng Dai대한수학회 · 대한수학회보2016 · 제53권 제6호Skew enveloping algebras and Poisson enveloping algebras오세권, 조은희대한수학회 · 대한수학회논문집2005 · 제20권 제4호
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