MAD SUBALGEBRAS AND LIE SUBALGEBRAS OF AN ENVELOPING ALGEBRA

DOI10.1017/S0004972710000407zbMath1210.17004WikidataQ115336887 ScholiaQ115336887MaRDI QIDQ3065420

Xin Tang

Publication date: 5 January 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

automorphism groupDixmier partitionLie subalgebras of enveloping algebrasmad subalgebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Cites Work

• Mad subalgebras of rings of differential operators on curves.
• B-functions and holonomic systems. Rationality of roots of B-functions
• Dixmier's problem 5 for the Weyl algebra.
• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• DIXMIER'S PROBLEM 6 FOR SOMEWHAT COMMUTATIVE ALGEBRAS AND DIXMIER'S PROBLEM 3 FOR THE RING OF DIFFERENTIAL OPERATORS ON A SMOOTH IRREDUCIBLE AFFINE CURVE
• Automorhisms of enveloping algebras
• The Weyl Algebra-Semisimple and Nilpotent Elements
• Invariants du corps de weyl sous l'action de groupes finis
• Dixmier's Problem 6 for the Weyl Algebra (The Generic Type Problem)
• On the realization of semi-simple lie algebras with quantum canonical variables

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