Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities
Fuente:
arXiv
Saved in:
| Main Authors: | Gekhtman, Michael, Nakanishi, Tomoki, Rupel, Dylan |
|---|---|
| Format: | Preprint |
| Published: |
2016
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Dilogarithm identities of higher degree and cluster $a$-variable periodicity
by: Nash, Zachary, et al.
Published: (2025)
by: Nash, Zachary, et al.
Published: (2025)
Addendum to "Structure of seeds in generalized cluster algebras"
by: Nakanishi, Tomoki
Published: (2024)
by: Nakanishi, Tomoki
Published: (2024)
Dominance phenomena: mutation, scattering and cluster algebras
by: Reading, Nathan
Published: (2018)
by: Reading, Nathan
Published: (2018)
Factoriality and class groups of cluster algebras
by: Elsener, Ana Garcia, et al.
Published: (2017)
by: Elsener, Ana Garcia, et al.
Published: (2017)
Universal geometric cluster algebras
by: Reading, Nathan
Published: (2012)
by: Reading, Nathan
Published: (2012)
$\mathrm{SL}_2$-like Properties of Matrices Over Noncommutative Rings and Generalizations of Markov Numbers
by: Greenberg, Zachary, et al.
Published: (2024)
by: Greenberg, Zachary, et al.
Published: (2024)
Multiplicative Inequalities In Cluster Algebras Of Finite Type
by: Gekhtman, Michael, et al.
Published: (2024)
by: Gekhtman, Michael, et al.
Published: (2024)
Generalized cluster algebras are subquotients of cluster algebras
by: Ramos, Rolando, et al.
Published: (2025)
by: Ramos, Rolando, et al.
Published: (2025)
On class groups of upper cluster algebras
by: Pompili, Mara
Published: (2023)
by: Pompili, Mara
Published: (2023)
Pseudo grading on cluster automorphism group with application to cluster algebras of rank $3$
by: Fu, Changjian, et al.
Published: (2025)
by: Fu, Changjian, et al.
Published: (2025)
Valuative independence and cluster theta reciprocity
by: Cheung, Man-Wai, et al.
Published: (2025)
by: Cheung, Man-Wai, et al.
Published: (2025)
Pentagon relation in quantum cluster scattering diagrams
by: Nakanishi, Tomoki
Published: (2022)
by: Nakanishi, Tomoki
Published: (2022)
Modules With Descending Chain Conditions on Endoimages
by: Gera, Theophilus, et al.
Published: (2025)
by: Gera, Theophilus, et al.
Published: (2025)
Mutation of signed valued quivers and presentations of simple complex Lie algebras
by: Grant, Joseph, et al.
Published: (2024)
by: Grant, Joseph, et al.
Published: (2024)
On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness
by: Schiffler, Ralf, et al.
Published: (2025)
by: Schiffler, Ralf, et al.
Published: (2025)
Real $C$-, $G$-structures and sign-coherence of cluster algebras
by: Akagi, Ryota, et al.
Published: (2025)
by: Akagi, Ryota, et al.
Published: (2025)
A categorification of acyclic principal coefficient cluster algebras
by: Pressland, Matthew
Published: (2017)
by: Pressland, Matthew
Published: (2017)
Exchange graphs of cluster algebras have the non-leaving-face property
by: Fu, Changjian, et al.
Published: (2022)
by: Fu, Changjian, et al.
Published: (2022)
Special Folding of Quivers and Cluster Algebras
by: Kaufman, Dani
Published: (2023)
by: Kaufman, Dani
Published: (2023)
Binomial ideals attached to finite collections of cells
by: Herzog, Jürgen, et al.
Published: (2022)
by: Herzog, Jürgen, et al.
Published: (2022)
On the normal complement problem for finite group algebras of Abelian-by-cyclic groups
by: Herman, Allen, et al.
Published: (2025)
by: Herman, Allen, et al.
Published: (2025)
Skein and cluster algebras with coefficients for unpunctured surfaces
by: Ishibashi, Tsukasa, et al.
Published: (2023)
by: Ishibashi, Tsukasa, et al.
Published: (2023)
Based cluster algebras of infinite rank
by: Qin, Fan
Published: (2024)
by: Qin, Fan
Published: (2024)
The $v$-number of generalized binomial edge ideals of some graphs
by: Shen, Yi-Huang, et al.
Published: (2026)
by: Shen, Yi-Huang, et al.
Published: (2026)
Positivity for quantum cluster algebras from orbifolds
by: Huang, Min
Published: (2024)
by: Huang, Min
Published: (2024)
Cluster structures via representation theory: cluster ensembles, tropical duality, cluster characters and quantisation
by: Grabowski, Jan E., et al.
Published: (2024)
by: Grabowski, Jan E., et al.
Published: (2024)
Factoriality and Class Groups of Upper Cluster Algebras and Finite Laurent Intersection Rings: A Computational Approach
by: Pompili, Mara, et al.
Published: (2026)
by: Pompili, Mara, et al.
Published: (2026)
Recurrence formula, positivity and polytope basis in cluster algebras via Newton polytopes
by: Li, Fang, et al.
Published: (2022)
by: Li, Fang, et al.
Published: (2022)
Broken lines and compatible pairs for rank 2 quantum cluster algebras
by: Burcroff, Amanda, et al.
Published: (2024)
by: Burcroff, Amanda, et al.
Published: (2024)
Regular pullback of generalized cluster structures
by: Gekhtman, Misha, et al.
Published: (2026)
by: Gekhtman, Misha, et al.
Published: (2026)
Newton polytopes in cluster algebras and $τ$-tilting theory
by: Cao, Peigen
Published: (2026)
by: Cao, Peigen
Published: (2026)
Multiplicative bases and commutative semiartinian von Neumann regular algebras
by: Fuková, Kateřina, et al.
Published: (2025)
by: Fuková, Kateřina, et al.
Published: (2025)
On noncommutative bounded factorization domains and prime rings
by: Bell, Jason P., et al.
Published: (2022)
by: Bell, Jason P., et al.
Published: (2022)
Mutation Of Matrices Over Group Rings
by: Kaufman, Dani, et al.
Published: (2026)
by: Kaufman, Dani, et al.
Published: (2026)
Generalized cluster structures related to Poisson duals of $\mathrm{SL}_n$
by: Gekhtman, Michael, et al.
Published: (2023)
by: Gekhtman, Michael, et al.
Published: (2023)
Partially compactified quantum cluster structures on simple algebraic groups and the full Berenstein--Zelevinsky conjecture
by: Qin, Fan, et al.
Published: (2025)
by: Qin, Fan, et al.
Published: (2025)
On the dimension of the Fomin-Kirillov algebra and related algebras
by: Bärligea, Christoph
Published: (2020)
by: Bärligea, Christoph
Published: (2020)
Crystal Structure of Upper Cluster Algebras
by: Fei, Jiarui
Published: (2023)
by: Fei, Jiarui
Published: (2023)
Noncommutative Polygonal Cluster Algebras
by: Greenberg, Zachary, et al.
Published: (2024)
by: Greenberg, Zachary, et al.
Published: (2024)
Classification of real modules in monoidal categorifications of cluster algebras
by: Duan, Bing, et al.
Published: (2025)
by: Duan, Bing, et al.
Published: (2025)
Similar Items
-
Dilogarithm identities of higher degree and cluster $a$-variable periodicity
by: Nash, Zachary, et al.
Published: (2025) -
Addendum to "Structure of seeds in generalized cluster algebras"
by: Nakanishi, Tomoki
Published: (2024) -
Dominance phenomena: mutation, scattering and cluster algebras
by: Reading, Nathan
Published: (2018) -
Factoriality and class groups of cluster algebras
by: Elsener, Ana Garcia, et al.
Published: (2017) -
Universal geometric cluster algebras
by: Reading, Nathan
Published: (2012)