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Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
Self-adjoint commuting differential operators commutative subalgebras the Weyl algebra Mathematical Physics
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2011/9/13
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
Finite-dimensional vertex algebra modules over fixed point commutative subalgebras
vertex algebra Galois extension commutative algebra
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2011/1/18
Let A be a connected commutative C-algebra with derivation D,G a finite linear automorphism group of A which preserves D, and R = AG the fixed point subalgebra of A under the action of G. We show that...
Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras
Simplicity maximal commutative subalgebras twisted generalized Weyl algebras
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2010/12/13
In this paper we show that each non-zero ideal of a twisted generalizedWeyl algebra (TGWA) A intersects the centralizer of the distinguished subalgebra R in A non-trivially. We also provide a necessar...