Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 11, Tome 199 (1992), pp. 51-70
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D. Gurevich; A. Radul; V. Rubzov. Non-commutative differential geometry related to the Yang–Baxter equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 11, Tome 199 (1992), pp. 51-70. http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a4/
@article{ZNSL_1992_199_a4,
author = {D. Gurevich and A. Radul and V. Rubzov},
title = {Non-commutative differential geometry related to the {Yang{\textendash}Baxter} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {51--70},
year = {1992},
volume = {199},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a4/}
}
TY - JOUR
AU - D. Gurevich
AU - A. Radul
AU - V. Rubzov
TI - Non-commutative differential geometry related to the Yang–Baxter equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1992
SP - 51
EP - 70
VL - 199
UR - http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a4/
LA - ru
ID - ZNSL_1992_199_a4
ER -
%0 Journal Article
%A D. Gurevich
%A A. Radul
%A V. Rubzov
%T Non-commutative differential geometry related to the Yang–Baxter equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1992
%P 51-70
%V 199
%U http://geodesic.mathdoc.fr/item/ZNSL_1992_199_a4/
%G ru
%F ZNSL_1992_199_a4
An analogue of the differential calculus associated with a unitary solution of quantum Yang–Baxter equation is constructed. An example of a ring sheaf is given in which local solutions of the quantum Yang–Baxter equation exist but not global ones.
