Reference : N-point Virasoro algebras are multi-point Krichever--Novikov type algebras
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Physical, chemical, mathematical & earth Sciences : Mathematics
N-point Virasoro algebras are multi-point Krichever--Novikov type algebras
Schlichenmaier, Martin mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
[en] We show how the recently again discussed $N$-point Witt, Virasoro,
and affine Lie
algebras are genus zero
examples of the multi-point versions of Krichever--Novikov
algebras as introduced and studied by Schlichenmaier. Using this more
general point of view, useful structural insights and an easier access to
can be obtained. The concept of almost-grading will yield information
triangular decompositions
which are of importance in the theory of representations.
As examples the algebra of functions,
vector fields, differential operators, current algebras, affine Lie
algebras, Lie superalgebras
and their
central extensions are studied. Very detailed calculations
for the three-point case are given.
Univerisity of Luxembourg, FNR
GEOMQ11, qUANTMOD O13/570706
Researchers ; Professionals ; Students

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