Lie groups, Lie algebras, differential equations, field theory.
Subject:
The theory of Lie groups, group analysis of differential equations, representation theory, field theory.
Main publications:
Kurnyavko O. L., Shirokov I. V., Yurevich Yu. A., Polyarizatsiya vakuuma kvantovykh polei vo vneshnem pole Aaronova–Boma. I, Izvestiya vuzov. Fizika, 2006, t. 49, # 2, str. 26–34.
Kurnyavko O. L., Shirokov I. V., Yurevich Yu. A., Polyarizatsiya vakuuma kvantovykh polei vo vneshnem pole Aaronova–Boma. II, Izvestiya vuzov. Fizika, 2006, t. 49, # 4, str. 3–8.
O. L. Kurnyavko, I. V. Shirokov, “Construction of invariants of the coadjoint representation of Lie groups using linear algebra methods”, TMF, 188:1 (2016), 3–19; Theoret. and Math. Phys., 188:1 (2016), 965–979
2008
2.
O. L. Kurnyavko, I. V. Shirokov, “Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields”, TMF, 156:2 (2008), 237–249; Theoret. and Math. Phys., 156:2 (2008), 1169–1179
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