Article (Scientific journals)
Multipoint Lax operator algebras. Almost-graded structure and central extensions
SCHLICHENMAIER, Martin
2014In Sbornik: Mathematics, 205 (5), p. 117-160
Peer reviewed
 

Files


Full Text
1304.3902.pdf
Author preprint (433.89 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Abstract :
[en] Recently, Lax operator algebras appeared as a new class of higher genus current type algebras. Based on I.Krichever's theory of Lax operators on algebraic curves they were introduced by I. Krichever and O. Sheinman. These algebras are almost-graded Lie algebras of currents on Riemann surfaces with marked points (in-points, out-points, and Tyurin points). In a previous joint article of the author with Sheinman the local cocycles and associated almost-graded central extensions are classified in the case of one in-point and one out-point. It was shown that the almost-graded extension is essentially unique. In this article the general case of Lax operator algebras corresponding to several in- and out-points is considered. In a first step it is shown that they are almost-graded. The grading is given by the splitting of the marked points which are non-Tyurin points into in- and out-points. Next, classification results both for local and bounded cocycles are shown. The uniqueness theorem for almost-graded central extensions follows. For this generalization additional techniques are needed which are presented in this article
Disciplines :
Mathematics
Author, co-author :
SCHLICHENMAIER, Martin  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Multipoint Lax operator algebras. Almost-graded structure and central extensions
Publication date :
2014
Journal title :
Sbornik: Mathematics
Volume :
205
Issue :
5
Pages :
117-160
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 11 November 2013

Statistics


Number of views
89 (5 by Unilu)
Number of downloads
93 (4 by Unilu)

Scopus citations®
 
5
Scopus citations®
without self-citations
5
WoS citations
 
6

Bibliography


Similar publications



Contact ORBilu