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In this paper, we characterize the graded post-Lie algebra structures on the W-algebra $W(2,2)$. Furthermore, as applications, the homogeneous Rota-Baxter operators on $W(2,2)$ and solutions of the formal classical Yang-Baxter equation on $W(2,2)\ltimes_{{\rm ad}^\ast} W(2,2)^\ast$ are studied.
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참고문헌 (11)
참고문헌 신청
C. Bai / 2010 / Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras / Comm. Math. Phys 297(2):553~596
D. Burde / 2012 / Affine actions on Lie groups and post-Lie algebra structures / Linear Algebra Appl 437(5):1250~1263
H. Chen / 2012 / Left-symmetric algebra structures on the W-algebra W(2, 2) / Linear Algebra Appl 437(7):1821~1834
C. Chu / 2014 / Localization of Rota-Baxter algebras / J. Pure Appl. Algebra 218(2):237~251
K. Ebrahimi-Fard / 2015 / On the Lie enveloping algebra of a post-Lie algebra / J. Lie Theory 25(4):1139~1165
D. Burde / 2012 / Affine actions on Lie groups and post-Lie algebra structures / Linear Algebra Appl 437(5):1250~1263
H. Chen / 2012 / Left-symmetric algebra structures on the W-algebra W(2, 2) / Linear Algebra Appl 437(7):1821~1834
C. Chu / 2014 / Localization of Rota-Baxter algebras / J. Pure Appl. Algebra 218(2):237~251
K. Ebrahimi-Fard / 2015 / On the Lie enveloping algebra of a post-Lie algebra / J. Lie Theory 25(4):1139~1165
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