Vertex Algebras and Coordinate Rings of Semi-infinite Flags
نویسندگان
چکیده
منابع مشابه
Semi-infinite forms and topological vertex operator algebras
Semi-infinite forms on the moduli spaces of genus-zero Riemann surfaces with punctures and local coordinates are introduced. A partial operad for semi-infinite forms is constructed. Using semi-infinite forms and motivated by a partial suboperad of the partial operad for semi-infinite forms, topological vertex partial operads of type k < 0 and strong topological vertex partial operads of type k ...
متن کاملSemi-infinite flags. I. Case of global curve P 1 , Differential topology, infinite-dimensional Lie algebras, and applications
1.1. We learnt of the Semiinfinite Flag Space from B.Feigin and E.Frenkel in the late 80-s. Since then we tried to understand this remarkable object. It appears that it was essentially constructed, but under different disguises, by V.Drinfeld and G.Lusztig in the early 80-s. Another recent discovery (BeilinsonDrinfeld Grassmannian) turned out to conceal a new incarnation of Semiinfinite Flags. ...
متن کاملSemi-Infinite Wedges and Vertex Operators
The level 1 highest weight modules of the quantum affine algebra Uq(ŝln) can be described as spaces of certain semi-infinite wedges. Using a q-antisymmetrization procedure, these semi-infinite wedges can be realized inside an infinite tensor product of evaluation modules. This realization gives rise to simple descriptions of vertex operators and (up to a scalar function) their compositions. 1 R...
متن کاملDegenerate Sklyanin Algebras and Generalized Twisted Homogeneous Coordinate Rings
In this work, we introduce the point parameter ring B, a generalized twisted homogeneous coordinate ring associated to a degenerate version of the three-dimensional Sklyanin algebra. The surprising geometry of these algebras yields an analogue to a result of Artin-Tatevan den Bergh, namely that B is generated in degree one and thus is a factor of the corresponding degenerate Sklyanin algebra.
متن کاملVertex Lie algebras, vertex Poisson algebras and vertex algebras
The notions of vertex Lie algebra and vertex Poisson algebra are presented and connections among vertex Lie algebras, vertex Poisson algebras and vertex algebras are discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2019
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-019-03321-x