nLab Leon Takhtajan

Leon A. Takhtajan is a mathematical physicist at SUNY Stony Brook.

• Quantum mechanics for mathematicians, Graduate Studies in Mathematics 95, Amer. Math. Soc. 2008.

• webpage

Selected writings

On relations between quantum field theory and number theory and in particular about the analogy between the Weil reciprocity law for function fields and the Ward identities of quantum field theory:

• Leon Takhtajan, Quantum field theories on algebraic curves and A. Weil reciprocity law, arxiv/0812.0169; Quantum field theories on an algebraic curve, pdf, 2000

On solitons:

• Ludwig D. Faddeev, Leon A. Takhtajan, Hamiltonian methods in the theory of solitons, Springer (2007) [doi:10.1007/978-3-540-69969-9]

FRT construction of quantum groups

• N. Yu. Reshetikhin, L. A. Takhtajan, L. D. Faddeev, Quantization of Lie groups and Lie algebras, Algebra i analiz 1, 178 (1989) (Russian), English transl. in Leningrad Math. J. 1.
• L. D. Faddeev, N. Yu. Reshetikhin, L. A. Takhtajan, Quantum Groups. Braid Group, Knot Theory and Statistical Mechanics, in: Adv. Ser. Math. Phys. 9, World Sci. 1989, pp. 97–110

category: people