Representations of Hom-Lie Algebras

Algebras and Representation Theory - Tập 15 Số 6 - Trang 1081-1098 - 2012
Yunhe Sheng1
1Department of Mathematics, Jilin University, Changchun 130012, Jilin, China

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Tài liệu tham khảo

Ammar, F., Ejbehi, Z., Makhlouf, A.: Cohomology and Deformations of Hom-algebras. arXiv:1005.0456 (2010)

Benayadi, S., Makhlouf, A.: Hom-Lie Algebras with Symmetric Invariant NonDegenerate Bilinear Forms. arXiv:1009.4226 (2010)

Chevalley, C., Eilenberg, S.: Cohomology theory of Lie groups and Lie algebras. Trans. Amer. Math. Soc. 63, 85–124 (1948)

Dorfman, I.: Dirac Structures and Integrability of Nonlinear Evolution Equation. Wiley, New York (1993)

Hartwig, J., Larsson, D., Silvestrov, S.: Deformations of Lie algebras using σ-derivations. J. Algebra 295, 314–361 (2006)

Jacobson, N.: Lie Algebras. Dover Publications, Inc. New York (1962)

Larsson, D., Silvestrov, S.: Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities. J. Algebra 288, 321–344 (2005)

Larsson, D., Silvestrov, S.: Quasi-Lie algebras. Contemp. Math. 391, 241–248 (2005)

Makhlouf, A., Silvestrov, S.: Notes on formal deformations of hom-associative and hom-Lie algebras. Forum Math. 22(4), 715–739 (2010)

Makhlouf, A., Silvestrov, S.: Hom-algebra structures. J. Gen. Lie Theory Appl. 2(2), 51–64 (2008)

Sheng, Y.: Linear Poisson structures on $\mathbb R^4$ . J. Geom. Phys. 57, 2398–2410 (2007)

Yau, D.: Hom–Yang–Baxter equation, hom-Lie algebras, and quasi-triangular bialgebras. J. Phys. A: Math. Theory 42, 165202 (2009)

Yau, D.: Hom-algebras and homology. J. Lie Theory 19, 409–421 (2009)

Yau, D.: Enveloping algebras of hom-Lie algebras. J. Gen. Lie Theory Appl. 2, 95–108 (2008)