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dc.contributor.author |
Mellit, A. |
|
dc.date.accessioned |
2019-06-18T14:13:00Z |
|
dc.date.available |
2019-06-18T14:13:00Z |
|
dc.date.issued |
2004 |
|
dc.identifier.citation |
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. |
uk_UA |
dc.identifier.issn |
1726-3255 |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/156459 |
|
dc.description.abstract |
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. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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