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Simple Holonomic Modules over the Second Weyl Algebra A2

✍ Scribed by V. Bavula; F. van Oystaeyen

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 311 KB
Volume: 150
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1999.1835

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✦ Synopsis

For simple generalized Weyl algebras 4 of Gelfand Kirillov dimension 4, a class including the second Weyl algebra A 2 , some simple factor algebras of the universal enveloping algebra of the Lie algebra sl(2)_sl(2) and of U q sl(2)_U q sl(2), etc., the simple holonomic 4-modules are classified up to pairs of irreducible elements of certain noncommutative Euclidean ring.

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