Menelaus Relation, Hirota–Miwa Equation and Fay's Trisecant Formula are Associativity Equations
نویسندگان
چکیده
It is shown that the celebrated Menelaus relation, Hirota–Miwa bilinear equation for KP hierarchy and Fay's trisecant formula similar to WDVV are associativity conditions structure constants of certain three-dimensional quasi-algebra.
منابع مشابه
Menelaus Relation and Fay's Trisecant Formula Are Associativity Equations
It is shown that the celebrated Menelaus relation and Fay's trisecant formula similar to the WDVV equation are associativity conditions for structure constants of certain three-dimensional algebra.
متن کاملar X iv : 0 90 7 . 20 23 v 1 [ m at h - ph ] 1 2 Ju l 2 00 9 Menelaus relation and Fay ’ s trisecant formula are associativity equations
It is shown that the celebrated Menelaus relation and Fay's trisecant formula similar to the WDVV equation are associativity conditions for structure constants of certain three-dimensional algebra.
متن کاملOn Associativity Equations 1
We consider the associativity or Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations and discuss one of the most relevant for non-perturbative physics class of their solutions based on existence of the residue formulas. It is demonstrated for this case that the proof of associativity equations is reduced to the problem of solving system of algebraic linear equations. The particular examples of ...
متن کاملOn the associativity functional equation
Let [a, b] be any bounded closed real interval. The class of all continuous, nondecreasing, associative functions M : [a, b] → [a, b] fulfilling the boundary conditions M(a, a) = a and M(b, b) = b is described.
متن کاملDiscrete integrable systems and deformations of associative algebras
Interrelations between discrete deformations of the structure constants for associative algebras and discrete integrable systems are reviewed. A theory of deformations for associative algebras is presented. Closed left ideal generated by the elements representing the multiplication table plays a central role in this theory. Deformations of the structure constants are generated by the Deformatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1142/s1402925110001070