Bugfixes:
- Minor corrections.
Bugfixes:
- Some more mistakes corrected, including wrong definitions of "permutation" (for infinite sets) and "Laurent series" (in multiple variables).
Features:
- Proofs for some basic properties of semiinfinite wedges added (§3.5.4).
Bugfixes:
- Lots of minor mistakes fixed.
Bugfixes:
- Wrong argument for well-definedness of power series in §3.11 replaced by correct one. Substantially extended §3.2 for that aim. Also fixed a few other bugs.
Features:
- Second proof of the formula for
\sigma{-1}
in terms of Schur polynomials (Section 3.14) finalized.
Bugfixes:
- A few mistakes corrected.
Features:
- Second proof of the formula for
\sigma{-1}
in terms of Schur polynomials (Section 3.14) written up (will still be extended, but should already be readable). - References to sections, theorems, formulas, URLs etc. are now hyperlinks.
- The section on
\mathbb{Z}
-graded Lie algebras has been extended by formerly missing definitions and examples.
Bugfixes:
- Wrong notation (z instead of t) in the section on the Virasoro modules
V_{\alpha, \beta}
corrected. Some other errors and inaccuracies removed.
Features:
- §4.6 has been split into §4.6-4.8 and finished.
Bugfixes:
- Various errors have been corrected all the way through the notes. The semidirect product is now correctly defined.
Features:
- §4.6.1 finished.
Features:
- §4.3 finished.
Features:
- Most of §4.3 finished (except for the last remarks on g simple).
Bugfixes:
- A proof in §2.3 corrected.
- Missing definition of the semidirect product of Virasoro with Heisenberg inserted.
Bugfixes:
- Minor fixes across the text. More importantly, the action of \overline{a}_{\infty} on the fermionic wedge space is now correctly defined.
Bugfixes:
- Numerous errors corrected.
Features:
- Added Section 2.3 about Virasoro modules
V_{\alpha, \beta}
, and made Section 3.8 readable. Hopefully 3.9 and 3.10 also make sense now.
Bugfixes:
- Various errors corrected; defined the notion of central charge.
Bugfixes:
- A minor and a major flaw in the proof of Proposition 2.2.13 corrected.
Features:
- Split 3.13.5 into 3.13.5 and 3.13.6. Completed 3.13.5 (more or less).