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COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An

Year 2008, Volume: 4 Issue: 4, 149 - 158, 01.12.2008

Hermund André Torkildsen

https://izlik.org/JA59UT88WU

Abstract

The purpose of this paper is to give an explicit formula for the number of non-isomorphic cluster-tilted algebras of type An, by counting the mutation class of any quiver with underlying graph An. It will also follow that if T and T0 are cluster-tilting objects in a cluster category C, then EndC(T) is isomorphic to EndC(T0) if and only if T = τiT0.

Keywords

Cluster category cluster-tilted algebra quiver mutation mutation class triangulation of polygons Catalan number

Year 2008, Volume: 4 Issue: 4, 149 - 158, 01.12.2008

Hermund André Torkildsen

https://izlik.org/JA59UT88WU

Abstract

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Details

Other ID JA76JZ72BD
Authors

Hermund André Torkildsen This is me

Publication Date December 1, 2008
IZ https://izlik.org/JA59UT88WU
Published in Issue Year 2008 Volume: 4 Issue: 4

Cite

APA Torkildsen, H. A. (2008). COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An. International Electronic Journal of Algebra, 4(4), 149-158. https://izlik.org/JA59UT88WU
AMA 1.Torkildsen HA. COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An. IEJA. 2008;4(4):149-158. https://izlik.org/JA59UT88WU
Chicago Torkildsen, Hermund André. 2008. “COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An”. International Electronic Journal of Algebra 4 (4): 149-58. https://izlik.org/JA59UT88WU.
EndNote Torkildsen HA (December 1, 2008) COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An. International Electronic Journal of Algebra 4 4 149–158.
IEEE [1]H. A. Torkildsen, “COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An”, IEJA, vol. 4, no. 4, pp. 149–158, Dec. 2008, [Online]. Available: https://izlik.org/JA59UT88WU
ISNAD Torkildsen, Hermund André. “COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An”. International Electronic Journal of Algebra 4/4 (December 1, 2008): 149-158. https://izlik.org/JA59UT88WU.
JAMA 1.Torkildsen HA. COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An. IEJA. 2008;4:149–158.
MLA Torkildsen, Hermund André. “COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An”. International Electronic Journal of Algebra, vol. 4, no. 4, Dec. 2008, pp. 149-58, https://izlik.org/JA59UT88WU.
Vancouver 1.Torkildsen HA. COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An. IEJA [Internet]. 2008 Dec. 1;4(4):149-58. Available from: https://izlik.org/JA59UT88WU