A=U for Locally Acyclic Cluster Algebras
This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Author: | Muller, G. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146600 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A=U for Locally Acyclic Cluster Algebras / G. Muller // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
by: Stella, S., et al.
Published: (2016)
by: Stella, S., et al.
Published: (2016)
On representations of the semigroups S(I,J) with acyclic quiver
by: Bondarenko, V.M., et al.
Published: (2009)
by: Bondarenko, V.M., et al.
Published: (2009)
Symplectic Maps from Cluster Algebras
by: Fordy, A.P., et al.
Published: (2011)
by: Fordy, A.P., et al.
Published: (2011)
Note on Character Varieties and Cluster Algebras
by: Hikami, K.
Published: (2019)
by: Hikami, K.
Published: (2019)
Rooted Clusters for Graph LP Algebras
by: Banaian, Esther, et al.
Published: (2022)
by: Banaian, Esther, et al.
Published: (2022)
On the Generalized Cluster Algebras of Geometric Type
by: Bai, Liqian, et al.
Published: (2020)
by: Bai, Liqian, et al.
Published: (2020)
A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
by: Lee, K., et al.
Published: (2015)
by: Lee, K., et al.
Published: (2015)
T-Path Formula and Atomic Bases for Cluster Algebras of Type D
by: Gunawan, E., et al.
Published: (2015)
by: Gunawan, E., et al.
Published: (2015)
Algebras of Non-Local Screenings and Diagonal Nichols Algebras
by: Flandoli, Ilaria, et al.
Published: (2022)
by: Flandoli, Ilaria, et al.
Published: (2022)
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras
by: Bossinger, Lara, et al.
Published: (2021)
by: Bossinger, Lara, et al.
Published: (2021)
An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras
by: Qin, Fan
Published: (2020)
by: Qin, Fan
Published: (2020)
Q-system Cluster Algebras, Paths and Total Positivity
by: di Francesko, P., et al.
Published: (2010)
by: di Francesko, P., et al.
Published: (2010)
On -Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula
by: Fu, Changjian, et al.
Published: (2024)
by: Fu, Changjian, et al.
Published: (2024)
Efficiency of the Overlay Network Clustering based on the Locality Metric
by: G. V. Poryev
Published: (2011)
by: G. V. Poryev
Published: (2011)
Local Quasitriangular Hopf Algebras
by: Zhang, S., et al.
Published: (2008)
by: Zhang, S., et al.
Published: (2008)
Spectra of locally matrix algebras
by: Bezushchak, O.
Published: (2021)
by: Bezushchak, O.
Published: (2021)
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\)
by: Bavula, V., et al.
Published: (2021)
by: Bavula, V., et al.
Published: (2021)
The Clebsch-Gordan Rule for 𝑈(𝔰𝔩₂), the Krawtchouk Algebras and the Hamming Graphs
by: Huang, Hau-Wen
Published: (2023)
by: Huang, Hau-Wen
Published: (2023)
Continuous semigroups in locally convex algebras
by: Lopushansky , О. V., et al.
Published: (2025)
by: Lopushansky , О. V., et al.
Published: (2025)
The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$
by: Guzner, B. Z., et al.
Published: (1993)
by: Guzner, B. Z., et al.
Published: (1993)
Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A
by: Kanakubo, Y., et al.
Published: (2015)
by: Kanakubo, Y., et al.
Published: (2015)
Morita equivalent unital locally matrix algebras
by: Bezushchak, O., et al.
Published: (2020)
by: Bezushchak, O., et al.
Published: (2020)
$(o)$-Topology in *-algebras of locally measurable operators
by: Muratov, M. A., et al.
Published: (2009)
by: Muratov, M. A., et al.
Published: (2009)
Locally Compact Quantum Groups. A von Neumann Algebra Approach
by: Alfons Van Daele
Published: (2014)
by: Alfons Van Daele
Published: (2014)
Locally nilpotent derivations and Nagata-type utomorphisms of a polynomial algebra
by: Bodnarchuk, Yu. V., et al.
Published: (2009)
by: Bodnarchuk, Yu. V., et al.
Published: (2009)
A method for the construction of exact solutions to the
nonlinear heat equation $u_t = \left(F(u)u_x \right)_x +G(u)u_x +H(u)$
by: Barannyk, T. A., et al.
Published: (2026)
by: Barannyk, T. A., et al.
Published: (2026)
Clusters in the Marketing Strategy of Local Self-Government in the Context of Decentralization
by: H. M. Kolomiiets, et al.
Published: (2019)
by: H. M. Kolomiiets, et al.
Published: (2019)
General trends in organization and localization of crt-clusters in streptomycetes genomes
by: L. V. Polishchuk, et al.
Published: (2021)
by: L. V. Polishchuk, et al.
Published: (2021)
Derivations and automor phisms of locally matrix algebras and groups
by: Bezushchak, O.O.
Published: (2020)
by: Bezushchak, O.O.
Published: (2020)
Locally nilpotent Lie algebras of derivations of integral domains
by: Petravchuk, A. P.; Київський національний університет ім. Тараса Шевченка, Київ, et al.
Published: (2018)
by: Petravchuk, A. P.; Київський національний університет ім. Тараса Шевченка, Київ, et al.
Published: (2018)
Algebraic modeling in international and local service logistical systems
by: O. O. Letychevskyi, et al.
Published: (2020)
by: O. O. Letychevskyi, et al.
Published: (2020)
Locally nilpotent Lie algebras of derivations of integral domains
by: A. P. Petravchuk, et al.
Published: (2017)
by: A. P. Petravchuk, et al.
Published: (2017)
Derivations and automor phisms of locally matrix algebras and groups
by: O. O. Bezushchak
Published: (2020)
by: O. O. Bezushchak
Published: (2020)
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))
by: Asherova, R.M., et al.
Published: (2010)
by: Asherova, R.M., et al.
Published: (2010)
Algebraic modeling in international and local service logistical systems
by: Letychevskyi, O.O., et al.
Published: (2021)
by: Letychevskyi, O.O., et al.
Published: (2021)
Search for invariants of U-Y-programs by an interactive algorithm over completely free data algebras
by: Maksymets, O.M.
Published: (2015)
by: Maksymets, O.M.
Published: (2015)
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
by: Inoue, Rei, et al.
Published: (2024)
by: Inoue, Rei, et al.
Published: (2024)
Exciton localization effects in nanoscale mo-lecular clusters (J-aggregates)
by: S. L. Efimova, et al.
Published: (2011)
by: S. L. Efimova, et al.
Published: (2011)
Exact solutions of the nonliear equation $u_{tt} =
= a(t) uu_{xx} + b(t) u_x^2 + c(t) u $
by: Barannyk, T. A., et al.
Published: (2017)
by: Barannyk, T. A., et al.
Published: (2017)
Точні розв'язки нелінійного хвильового рівняння u₀₀ - ▽[u▽u] = 0
by: Юрик, I.I.
Published: (1999)
by: Юрик, I.I.
Published: (1999)
Similar Items
-
Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
by: Stella, S., et al.
Published: (2016) -
On representations of the semigroups S(I,J) with acyclic quiver
by: Bondarenko, V.M., et al.
Published: (2009) -
Symplectic Maps from Cluster Algebras
by: Fordy, A.P., et al.
Published: (2011) -
Note on Character Varieties and Cluster Algebras
by: Hikami, K.
Published: (2019) -
Rooted Clusters for Graph LP Algebras
by: Banaian, Esther, et al.
Published: (2022)