Spaces of coinvariants and fusion product II. sl2 character formulas in terms of Kostka polynomials
نویسندگان
چکیده
منابع مشابه
SPACES OF COINVARIANTS AND FUSION PRODUCT II. ŝl2 CHARACTER FORMULAS IN TERMS OF KOSTKA POLYNOMIALS
In this paper, we continue our study of the Hilbert polynomials of coinvariants begun in our previous work [FJKLM] (paper I). We describe the sln fusion products for symmetric tensor representations following the method of [FF], and show that their Hilbert polynomials are An−1-supernomials. We identify the fusion product of arbitrary irreducible sln-modules with the fusion product of their resc...
متن کاملDouble Affine Hecke Algebras, Conformal Coinvariants and Kostka Polynomials
We study a class of representations called “calibrated representations” of the degenerate double affine Hecke algebra and those of the rational Cherednik algebra of type GLn. We give a realization of calibrated irreducible modules as spaces of coinvariants constructed from integrable modules over the affine Lie algebra ĝl m . Moreover, we give a character formula of these irreducible modules in...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولFermionic Formulas For Unrestricted Kostka Polynomials And Superconformal Characters
The problem of finding fermionic formulas for the many generalizations of Kostka polynomials and for the characters of conformal field theories has been a very exciting research topic for the last few decades. In this dissertation we present new fermionic formulas for the unrestricted Kostka polynomials extending the work of Kirillov and Reshetikhin. We also present new fermionic formulas for t...
متن کاملHilbert series of invariants, constant terms and Kostka-Foulkes polynomials
A problem that arose in the study of the mass of the neutrino led us to the evaluation of a constant term with a variety of ramifications into several areas from Invariant Theory, Representation Theory, the Theory of Symmetric Functions and Combinatorics. A significant by-product of our evaluation is the construction of a trigraded Cohen Macaulay basis for the Invariants under an action of SL n...
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: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2004.03.004