COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An

Hermund André Torkildsen

EN

COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An

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

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Hermund André Torkildsen This is me

Publication Date

December 1, 2008

Submission Date

December 1, 2008

Acceptance Date

-

Published in Issue

Year 2008 Volume: 4 Number: 4

IZ

https://izlik.org/JA59UT88WU

Cite

RIS / Bibtex

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.Hermund André Torkildsen. COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An. IEJA [Internet]. 2008 Dec. 1;4(4):149-58. Available from: https://izlik.org/JA59UT88WU