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Lie Groups and Representation Theory
Seminar information archive ～05/28｜Next seminar｜Future seminars 05/29～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2008/05/13
16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)
加藤晃史 (東京大学)
On endomorphisms of the Weyl algebra
http://akagi.ms.u-tokyo.ac.jp/seminar.html
加藤晃史 (東京大学)
On endomorphisms of the Weyl algebra
[ Abstract ]
Noncommutative geometry has revived the interest in the Weyl algebras, which are basic building blocks of quantum field theories.
The Weyl algebra An(C) is an associative algebra over C generated by pi,qi (i=1,cdots,n) with relations [pi,qj]=deltaij. Every endomorphism of An is injective since An is simple.
Dixmier (1968) initiated a systematic study of the Weyl algebra A1 and posed the following problem: Is every endomorphism of A1 an automorphism?
We give an affirmative answer to this conjecture.
[ Reference URL ]Noncommutative geometry has revived the interest in the Weyl algebras, which are basic building blocks of quantum field theories.
The Weyl algebra An(C) is an associative algebra over C generated by pi,qi (i=1,cdots,n) with relations [pi,qj]=deltaij. Every endomorphism of An is injective since An is simple.
Dixmier (1968) initiated a systematic study of the Weyl algebra A1 and posed the following problem: Is every endomorphism of A1 an automorphism?
We give an affirmative answer to this conjecture.
http://akagi.ms.u-tokyo.ac.jp/seminar.html
