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Generalizations of the Virasoro algebra and matrix Sturm–Liouville operators

✍ Scribed by Patrick Marcel

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
82 KB
Volume
36
Category
Article
ISSN
0393-0440

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✦ Synopsis

We study the series of Lie algebras generalizing the Virasoro algebra introduced in [V. Yu, Ovsienko, C. Roger, Functional Anal. Appl. 30 (4) (1996)]. We show that the coadjoint representation of each of these Lie algebras has a natural geometrical interpretation by matrix differential operators generalizing the Sturm-Liouville operators.

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