Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation
|
|
| Creator |
Mellit, A.
|
|
| Description |
We consider the algebras eiΠλ (Q)ei , where Πλ (Q) is the deformed preprojective algebra of weight λ and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and λ lies on the hyperplane orthogonal to the minimal positive imaginary root δ. We prove that the center of eiΠλ (Q)ei is isomorphic to Oλ (Q), a deformation of the coordinate ring of the Kleinian singularity that corresponds to Q. We also find a minimal k for which a standard identity of degree k holds in eiΠλ (Q)ei . We prove that the algebras AP₁,...,Pn;µ = Chx₁, . . . , xn|Pi(xi) = 0, Pn i=1 x₁ = µei make a special case of the algebras ecΠλ (Q)ec for star-like quivers Q with the origin c. |
|
| Date |
2019-06-18T14:13:00Z
2019-06-18T14:13:00Z 2004 |
|
| Type |
Article
|
|
| Identifier |
Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation / A. Mellit // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 89–110. — Бібліогр.: 5 назв. — англ.
1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/156459 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|