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Nazarova, L.A.: The representations of partially ordered sets of infinite type. Izv. Akad. Nauk SSSR, Ser. Math. 39 (1975), 963-991.

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Generalized One-Point Extensions - Dräxler   (Correct)

....A s = A s ) op are representation directed. Hence there Auslander Reiten 17 quivers are easy to calculate. The vectorspace category (K 0 P =I P ; HomA (P; Gamma) turns out to be linear with the following quiver Gamma. This vectorspace category is tame but not of polynomial growth (see [Na], Za] t t t t t t d d d d d d Gamma Gamma Gamma Gamma R R R Gamma Gamma Gamma Gamma C(c 1 ) C(a 1 ) C(c 2 ) P (a 3 ) P (b 2 ) P (b 3 ) 6.2. Let A = k[ Delta] I with the following quiver Delta and the ideal I generated by all ....

Nazarova, L.A.: The representations of partially ordered sets of infinite type. Izv. Akad. Nauk SSSR, Ser. Math. 39 (1975), 963-991.


Classification Problems in the Representation Theory of.. - Dräxler, Nörenberg   (Correct)

....from the Kiev school of representation theory. Theorem (Kleiner[Kl] Suppose P is a finite poset. Then the linear vector space category (add kP ; can) is of finite representation type if and only if P does not contain a full subposet from the following list K of 5 posets. Theorem (Nazarova[Na]) Suppose P is a finite poset. Then the linear vector space category (add kP ; can) is of tame representation type if and only if P does not contain a full subposet from the following list N of 6 posets. Theorem (Nazarova,Zavadskij[NZ] Suppose P is a finite poset. Then the linear vector space ....

L.A. Nazarova, The representations of partially ordered sets of infinite type, Izv. Akad. Nauk SSSR, Ser. Math. 39 (1975), 963-991.

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