Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Fyodor Malikov"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 26, Iss 2, Pp 83-106 (2001)
We give a classification and construction of chiral algebras of differential operators over semisimple algebraic groups G and over homogeneous spaces G/N and G/P where N is a nilpotent and P a parabolic subgroup.
Externí odkaz:
https://doaj.org/article/b385e17c0e994a25ba1e6c0b21a52838
Autor:
Fyodor Malikov
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 086 (2008)
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous space
Externí odkaz:
https://doaj.org/article/d0812dd573034b19a8f1f88983a0ea57
Autor:
Fyodor Malikov
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 25:205-234
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b7748d24266b48b74d877df3711811c
https://doi.org/10.5802/afst.1494
https://doi.org/10.5802/afst.1494
Autor:
Fyodor Malikov
We introduce and classify the objects that appear in the title of the paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e86d4b3cc2bea1f0746cee81ac11a30d
http://arxiv.org/abs/1703.08889
http://arxiv.org/abs/1703.08889
Publikováno v:
Communications in Mathematical Physics
We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the intersection of the Slodowy slice with the nilpotent cone. We compute
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f3937db8f5e2e49f1162acf5a230451
https://doi.org/10.1007/s00220-014-2183-x
https://doi.org/10.1007/s00220-014-2183-x
Autor:
Fyodor Malikov
Publikováno v:
Perspectives in Lie Theory ISBN: 9783319589701
These notes are an informal introduction to algebras of chiral differential operators. The language used is one of vertex algebras, otherwise the approach chosen is that suggested by Beilinson and Drinfeld. The prerequisites are kept to a minimum, an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::982bc49b6749a8f39f6b03a9a1c7ccf8
https://doi.org/10.1007/978-3-319-58971-8_2
https://doi.org/10.1007/978-3-319-58971-8_2
Autor:
Fyodor Malikov, Tomoyuki Arakawa
Publikováno v:
Advances in Mathematics. 229(5):2908-2949
We compute the cohomology of modules over the algebra of twisted chiral differential operators over the flag manifold. This is applied to (1) finding the character of G -integrable irreducible highest weight modules over the affine Lie algebra at the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::146d38ec4d2c6f263695dce8a3a03ab2
Publikováno v:
Selecta Mathematica. 17:1-46
We propose a notion of algebra of twisted chiral differential operators over algebraic manifolds with vanishing 1st Pontrjagin class. We show that such algebras possess families of modules depending on infinitely many complex parameters, which we cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::244101c67e7709fbbd829ab4c447fd6e
https://doi.org/10.1007/s00029-010-0040-0
https://doi.org/10.1007/s00029-010-0040-0
Autor:
Fyodor Malikov
Publikováno v:
Communications in Mathematical Physics. 278:487-548
We explain how sheaves of vertex algebras are related to mathematical structures encoded by a class of Lagrangians. The exposition is focused on two examples: the WZW model and the (1,1)-supersymmetric $\sigma$-model. We conclude by showing how to co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe61cf466e9015f355f30e6cc2225c3f
https://doi.org/10.1007/s00220-007-0403-3
https://doi.org/10.1007/s00220-007-0403-3
Publikováno v:
Proceedings of Symposia in Pure Mathematics. :133-148
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4032a84ea5ee0b8b4a7bc4c9d6083a8e
https://doi.org/10.1090/pspum/073/2131014
https://doi.org/10.1090/pspum/073/2131014