Are there unique factorizations for weyl algebras?
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I just read about Weyl algebras, and they sound like neat little toys that are similar in a number of ways to polynomials. However, it's curious to me that they are non-commutative, and I was wondering if there are unique factorizations for Weyl algebras the way there are for Hurwitz quaternions.
Further, there's a polynomial time factorization algorithm for polynomials, and at first glance Weyl algebras are extensions of polynomials. Do they have polynomial time factorization algorithms?
algebraic-number-theory prime-factorization
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up vote
4
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I just read about Weyl algebras, and they sound like neat little toys that are similar in a number of ways to polynomials. However, it's curious to me that they are non-commutative, and I was wondering if there are unique factorizations for Weyl algebras the way there are for Hurwitz quaternions.
Further, there's a polynomial time factorization algorithm for polynomials, and at first glance Weyl algebras are extensions of polynomials. Do they have polynomial time factorization algorithms?
algebraic-number-theory prime-factorization
add a comment |
up vote
4
down vote
favorite
up vote
4
down vote
favorite
I just read about Weyl algebras, and they sound like neat little toys that are similar in a number of ways to polynomials. However, it's curious to me that they are non-commutative, and I was wondering if there are unique factorizations for Weyl algebras the way there are for Hurwitz quaternions.
Further, there's a polynomial time factorization algorithm for polynomials, and at first glance Weyl algebras are extensions of polynomials. Do they have polynomial time factorization algorithms?
algebraic-number-theory prime-factorization
I just read about Weyl algebras, and they sound like neat little toys that are similar in a number of ways to polynomials. However, it's curious to me that they are non-commutative, and I was wondering if there are unique factorizations for Weyl algebras the way there are for Hurwitz quaternions.
Further, there's a polynomial time factorization algorithm for polynomials, and at first glance Weyl algebras are extensions of polynomials. Do they have polynomial time factorization algorithms?
algebraic-number-theory prime-factorization
algebraic-number-theory prime-factorization
edited Nov 22 at 12:34
amWhy
191k28224439
191k28224439
asked Apr 24 '14 at 19:32
dezakin
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1,148922
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