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Solutions to the T-systems with Principa...

Vichitkunakorn, Panu...

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Solutions to the T-systems with Principal Coefficients by Vichitkunakorn, Panupong ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	17-11-2015
Summary	The A∞ T-system, also called the octahedron recurrence, is a dynamical recurrence relation. It can be realized as mutation in a coefficient-free cluster algebra (Kedem 2008, Di Francesco and Kedem 2009). We define T-systems with principal coefficients from cluster algebra aspect, and give combinatorial solutions with respect to any valid initial condition in terms of partition functions of perfect matchings, non-intersecting paths and networks. This also provides a solution to other systems with various choices of coefficients on T-systems including Speyer's octahedron recurrence (Speyer 2007), generalized lambda-determinants (Di Francesco 2013) and (higher) pentagram maps (Schwartz 1992, Ovsienko et al. 2010, Glick 2011, Gekhtman et al. 2014).
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1511.05535

Citation

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AMA 11th EditionReferences

Vichitkunakorn, Panupong. Solutions to the T-systems with Principal Coefficients. N.A. November 17, 2015. Accessed August 09, 2025. https://online.provdatabase.com/cite/22671

APA 7th EditionReferences

Vichitkunakorn, Panupong. (2015). Solutions to the T-systems with Principal Coefficients. N.A. https://online.provdatabase.com/cite/22671

Chicago 17th EditionReferences

Vichitkunakorn, Panupong. Solutions to the T-systems with Principal Coefficients. N.A. 2015. https://online.provdatabase.com/cite/22671

HarvardReferences

Vichitkunakorn, Panupong. (2015). Solutions to the T-systems with Principal Coefficients. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22671. (Accessed 09 August 2025).

Harvard AustraliaReferences

Vichitkunakorn, Panupong, 2015, Solutions to the T-systems with Principal Coefficients, N.A, viewed 09 August 2025, <https://online.provdatabase.com/cite/22671>

MLA 9th EditionWorks Cited

Vichitkunakorn, Panupong. Solutions to the T-systems with Principal Coefficients. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/22671.

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