R. M. Kashaev, “On matrix generalizations of the dilogarithm”, TMF, 118:3 (1999), 398–404; Theoret. and Math. Phys., 118:3 (1999), 314

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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 398–404
DOI: https://doi.org/10.4213/tmf712 (Mi tmf712)

This article is cited in 8 scientific papers (total in 8 papers)

On matrix generalizations of the dilogarithm

R. M. Kashaev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full-text PDF (190 kB) Citations (8)

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DOI: https://doi.org/10.4213/tmf712

Abstract: On the basis of generalized comultiplication depending on a continuous parameter, solutions of the matrix equation generalizing the five-term Rogers identity for the dilogarithm are found.

English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 314–318
DOI: https://doi.org/10.1007/BF02557327

Bibliographic databases:

Language: Russian

Citation: R. M. Kashaev, “On matrix generalizations of the dilogarithm”, TMF, 118:3 (1999), 398–404; Theoret. and Math. Phys., 118:3 (1999), 314–318

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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\pages 314--318

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Linking options:

https://www.mathnet.ru/eng/tmf712

https://doi.org/10.4213/tmf712

https://www.mathnet.ru/eng/tmf/v118/i3/p398

This publication is cited in the following 8 articles:

Marzia Mazzotta, Vicent Pérez-Calabuig, Paola Stefanelli, “Set-theoretical solutions of the pentagon equation on Clifford semigroups”, Semigroup Forum, 2024
Folkert Müller-Hoissen, “On the Structure of Set-Theoretic Polygon Equations”, SIGMA, 20 (2024), 051, 30 pp.
Pavlos Kassotakis, “Entwining tetrahedron maps”, Partial Differential Equations in Applied Mathematics, 12 (2024), 100949
Charalampos Evripidou, Pavlos Kassotakis, Anastasios Tongas, “On quadrirational pentagon maps”, J. Phys. A: Math. Theor., 57:45 (2024), 455203
A. Dimakis, F. Müller-Hoissen, “Matrix Kadomtsev–Petviashvili equation: Tropical limit, Yang–Baxter and pentagon maps”, Theoret. and Math. Phys., 196:2 (2018), 1164–1173
Aristophanes Dimakis, Folkert Müller-Hoissen, “Simplex and Polygon Equations”, SIGMA, 11 (2015), 042, 49 pp.
Igor G. Korepanov, Nurlan M. Sadykov, “Pentagon Relations in Direct Sums and Grassmann Algebras”, SIGMA, 9 (2013), 030, 16 pp.
I. G. Korepanov, S. Saito, “Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation”, Theoret. and Math. Phys., 120:1 (1999), 862–869

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	228
References:	50
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