Publication details
Examples of Homotopy Lie Algebras
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| Citation | BERING LARSEN, Klaus and Tom LADA. Examples of Homotopy Lie Algebras. Archivum Mathematicum. Brno: Math.Stat., Fac.Sci., Masaryk U., 2009, vol. 2009, No 45, p. 265-277. ISSN 1212-5059. |
| web | |
| Field | Theoretical physics |
| Keywords | Homotopy Lie Algebras; Generalized Batalin Vilkovisky Algebras; Koszul Brackets; Higher Antibrackets. |
| Description | We look at two examples of homotopy Lie algebras (also known as L_{\infty} algebras) in detail from two points of view. We will exhibit the algebraic point of view in which the generalized Jacobi expressions are verified by using degree arguments and combinatorics. A second approach using the nilpotency of Grassmann-odd differential operators \Delta to verify the homotopy Lie data is shown to produce the same results. |
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