Are there unique factorizations for weyl algebras?
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
edited Nov 22 at 12:34
amWhy
191k28223439
asked Apr 24 '14 at 19:32
dezakin
1,148922
add a comment |
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
edited Nov 22 at 12:34
amWhy
191k28223439
asked Apr 24 '14 at 19:32
dezakin
1,148922
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
edited Nov 22 at 12:34
amWhy
191k28223439
asked Apr 24 '14 at 19:32
dezakin
1,148922
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
191k28223439
asked Apr 24 '14 at 19:32
dezakin
1,148922
edited Nov 22 at 12:34
amWhy
191k28223439
asked Apr 24 '14 at 19:32
dezakin
1,148922
edited Nov 22 at 12:34
amWhy
191k28223439
edited Nov 22 at 12:34
amWhy
191k28223439
edited Nov 22 at 12:34
amWhy
191k28223439
191k28223439
asked Apr 24 '14 at 19:32
dezakin
1,148922
asked Apr 24 '14 at 19:32
dezakin
1,148922
asked Apr 24 '14 at 19:32
dezakin
1,148922
1,148922
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f767803%2fare-there-unique-factorizations-for-weyl-algebras%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
