COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE An

Volume: 4 Number: 4 December 1, 2008
  • 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

Details

Primary Language

English

Subjects

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Journal Section

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Authors

Hermund André Torkildsen This is me

Publication Date

December 1, 2008

Submission Date

December 1, 2008

Acceptance Date

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Published in Issue

Year 2008 Volume: 4 Number: 4

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