nLab Boris Feigin

Selected writings

Boris Feigin is a Russian mathematician and mathematical physicist, former student of D. B. Fuks (Fuchs). His works include fundamental contributions to algebraic K-theory, cyclic homology, Lie theory, especially the cohomology of infinite-dimensional Lie algebras, characteristic classes of foliations, representation theory of Virasoro and Kac-Moody Lie algebras and loop groups, semiinfinite cohomology, vertex operator algebras and CFT, geometric Langlands program, quantum groups, deformation theory, integrable systems and algebraic geometry

Selected writings

On the hypergeometric integral construction of conformal blocks for the 𝔰𝔩 ( n ) \mathfrak{sl}(n) WZW model:

On fractional level WZW models (non-integrable admissible affine Lie algebra irreps) for 𝔰𝔩 ( 2 , ) \mathfrak{sl}(2, \mathbb{C}) :

  • Boris Feigin, Feodor Malikov, Modular functor and representation theory of 𝔰𝔩 2^\widehat{\mathfrak{sl}_2} at a rational level, p. 357-405 in: Loday, Stasheff, Voronov (eds.) Operads: Proceedings of Renaissance Conferences, Contemporary Mathematics 202 , AMS 1997 (arXiv:q-alg/9511011, ams:conm-202)
category: people

Last revised on January 15, 2023 at 18:09:18. See the history of this page for a list of all contributions to it.