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Books on the topic 'Cluster algebra'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Society, European Mathematical, ed. Lecture notes on cluster algebras. European Mathematical Society, 2013.

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2

1963-, Shapiro Michael, and Vainshtein Alek 1958-, eds. Cluster algebra and Poisson geometry. American Mathematical Society, 2010.

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3

Greenstein, Jacob, David Hernandez, Kailash C. Misra, and Prasad Senesi, eds. Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63849-8.

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4

Assem, Ibrahim, and Sonia Trepode, eds. Homological Methods, Representation Theory, and Cluster Algebras. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74585-5.

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5

Bárcenas, Noé, and Monica Moreno Rocha. Mexican mathematicians abroad: Recent contributions : first workshop, Matematicos Mexicanos Jovenes en el Mundo, August 22-24, 2012, Centro de Investigacion en Matematicas, A.C., Guanajuato, Mexico. Edited by Galaz-García Fernando editor. American Mathematical Society, 2016.

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6

Arkady, Berenstein, and Retakh Vladimir, eds. Noncommutative birational geometry, representations and combinatorics: AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA. American Mathematical Society, 2013.

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7

Cluster Algebra Structures on Poisson Nilpotent Algebras. American Mathematical Society, 2024.

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8

Gekhtman, M., A. Vainshtein, and M. Shapiro. Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case. American Mathematical Society, 2017.

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9

Homological Methods, Representation Theory, and Cluster Algebras. Springer, 2018.

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10

Fomin, Sergey, and Dylan Thurston. Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths. American Mathematical Society, 2018.

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11

Yakimov, M. T., and K. R. Goodearl. Quantum Cluster Algebras Structures on Quantum Nilpotent Algebras. American Mathematical Society, 2017.

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12

TOMOKI. Cluster Algebras and Scattering Diagra: Cluster Algebras and Scattering Diagrams. World Scientific Publishing Co Pte Ltd, 2023.

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13

Assem, Ibrahim, and Sonia Trepode. Homological Methods, Representation Theory, and Cluster Algebras. Springer, 2018.

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14

Parisi, Matteo. Combinatorial Aspects of Scattering Amplitudes: Amplituhedra, T-Duality, and Cluster Algebras. Springer, 2023.

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15

Horing, Norman J. Morgenstern. Non-Equilibrium Green’s Functions: Variational Relations and Approximations for Particle Interactions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0009.

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Abstract:
Chapter 09 Nonequilibrium Green’s functions (NEGF), including coupled-correlated (C) single- and multi-particle Green’s functions, are defined as averages weighted with the time-development operator U(t0+τ,t0). Linear conductivity is exhibited as a two-particle equilibrium Green’s function (Kubo-type formulation). Admitting particle sources (S:η,η+) and non-conservation of number, the non-equilibrium multi-particle Green’s functions are constructed with numbers of creation and annihilation operators that may differ, and they may be derived as variational derivatives with respect to sources η,η
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16

Hernandez, David, Jacob Greenstein, Kailash C. Misra, and Prasad Senesi. Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of Her 60th Birthday. Springer International Publishing AG, 2021.

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17

Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of Her 60th Birthday. Springer International Publishing AG, 2023.

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