Abstract
In this paper, all one-dimensional Leibniz central extensions on the algebras of differential operators over C[t, t-1] and C((t)), as well as on the quantum 2-torus, the Virasoro-like algebra and its q-analog are studied. We determine all nontrivial Leibniz 2-cocycles on these infinite dimensional Lie algebras.
| Original language | English |
|---|---|
| Pages (from-to) | 2385-2405 |
| Number of pages | 21 |
| Journal | Communications in Algebra |
| Volume | 32 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Differential operators algebra
- Leibniz 2-cocycle
- Q-Analog
- Quantum 2-torus
- Virasoro-like algebra
- Witt algebra
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