Abstract
We classify good ℤ-gradings of basic Lie superalgebras over an algebraically closed field F of characteristic zero. Good ℤ-gradings are used in quantum Hamiltonian reduction for affine Lie superalgebras, where they play a role in the construction of super W-algebras. We also describe the centralizer of a nilpotent even element and of an sl2-triple in gl(m{pipe}2n) and osp(m{pipe}2n).
| Original language | English |
|---|---|
| Pages (from-to) | 251-280 |
| Number of pages | 30 |
| Journal | Israel Journal of Mathematics |
| Volume | 192 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 2012 |
Bibliographical note
Funding Information:∗ Supported by JSPS at Nara Women’s University, Japan, and ISF at the Weizmann Institute of Science, Israel. Supported by the Minerva Foundation with funding from the Federal German Ministry for Education and Research. Received December 1, 2010
Funding
∗ Supported by JSPS at Nara Women’s University, Japan, and ISF at the Weizmann Institute of Science, Israel. Supported by the Minerva Foundation with funding from the Federal German Ministry for Education and Research. Received December 1, 2010
| Funders | Funder number |
|---|---|
| Federal German Ministry for Education and Research | |
| Weizmann Institute of Science, Israel | |
| Iowa Science Foundation | |
| Minerva Foundation | |
| Japan Society for the Promotion of Science |