Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules
نویسندگان
چکیده
منابع مشابه
Principal Subspaces of Higher-level Standard Sl(3)-modules
We use the theory of vertex operator algebras and intertwining operators to obtain systems of q-difference equations satisfied by the graded dimensions of the principal subspaces of certain level k standard modules for ŝl(3). As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest weights iΛ1 + (k − i)Λ2, where 1 ≤ i ≤ k and Λ...
متن کامل1 7 N ov 2 00 6 Principal subspaces of higher - level standard ̂ sl ( 3 ) - modules
We use the theory of vertex operator algebras and intertwining operators to obtain systems of q-difference equations satisfied by the graded dimensions of the principal subspaces of certain level k standard modules for ŝl(3). As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest weights iΛ1 + (k − i)Λ2, where 1 ≤ i ≤ k and Λ...
متن کاملVertex - Algebraic Structure of the Principal Subspaces of Certain a ( 1 ) 1 - Modules , Ii : Higher Level Case
We give an a priori proof of the known presentations of (that is, completeness of families of relations for) the principal subspaces of all the standard A (1) 1-modules. These presentations had been used by Capparelli, Lepowsky and Milas for the purpose of obtaining the classical Rogers-Selberg recursions for the graded dimensions of the principal subspaces. This paper generalizes our previous ...
متن کاملVertex-algebraic Structure of the Principal Subspaces of Level One Modules for the Untwisted Affine Lie Algebras
Generalizing some of our earlier work, we prove natural presentations of the principal subspaces of the level one standard modules for the untwisted affine Lie algebras of types A, D and E, and also of certain related spaces. As a consequence, we obtain a canonical complete set of recursions (q-difference equations) for the (multi-)graded dimensions of these spaces, and we derive their graded d...
متن کاملGENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES
The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.
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: International Journal of Mathematics
سال: 2015
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x15500536