Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The semi-infinite cohomology of affine Lie algebras

We study the semi-infinite or BRST cohomology of affine Lie algebras in detail. This cohomology is relevant in the BRST approach to gauged WZNW models. Our main result is to prove necessary and sufficient conditions on ghost numbers and weights for non-trivial elements in the cohomology. In particular we prove the existence of an infinite sequence of elements in the cohomology for non-zero ghos...

متن کامل

2 00 0 Semi - Infinite Cohomology and Superconformal Algebras

We describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the semi-infinite cohomology. We show that in the case where the Lie algebra is endowed with a nondegenerate invariant symmetric bilinear form, the relative semi-infinite cohomology of the loop algebra has a structure, wh...

متن کامل

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...

15 صفحه اول

Quantum cohomology of Grassmannians and affine algebras

We discuss a new approach to the quantum cohomology ring of a Grassmannian. This ring is also isomorphic to the Verlinde algebra. We present a formula for the quantum product of Schubert classes (3-point GromovWitten invarints), or, equivalently, for the fusion product in sl(k). The main combinatorial tool is a cylindric analogue of Young tableux. The formula immediately implies several new ide...

متن کامل

Representations of the Schrödinger-Virasoro algebras

X iv :0 80 1. 22 09 v1 [ m at h. R A ] 1 5 Ja n 20 08 Representations of the Schrödinger-Virasoro algebras Junbo Li, Yucai Su ∗)Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China †)Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China ‡)Department of Mathematics, University of Science and Technology of China, Hefei 230026, China E-mail...

متن کامل

ذخیره 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: Advances in Mathematics

سال: 2006

ISSN: 0001-8708

DOI: 10.1016/j.aim.2005.08.005