Crystal bases, path models, and a twining character formula for Demazure modules
نویسندگان
چکیده
منابع مشابه
A Weight Multiplicity Formula for Demazure Modules
We establish a formula for the weight multiplicities of Demazure modules (in particular for highest weight representations) of a complex connected algebraic group in terms of the geometry of its Langlands dual.
متن کاملQuiver Varieties and Demazure Modules
Using subvarieties, which we call Demazure quiver varieties, of the quiver varieties of Nakajima, we give a geometric realization of Demazure modules of Kac-Moody algebras with symmetric Cartan data. We give a natural geometric characterization of the extremal weights of a representation and show that Lusztig's semicanonical basis is compatible with the filtration of a representation by Demazur...
متن کاملTwining Character Formula of Kac-wakimoto Type for Affine Lie Algebras
We prove a formula of Kac-Wakimoto type for the twining characters of irreducible highest weight modules of symmetric, noncritical, integrally dominant highest weights over affine Lie algebras. This formula describes the twining character in terms of the subgroup of the integral Weyl group consisting of elements which commute with the Dynkin diagram automorphism. The main tools in our proof are...
متن کاملCrystal Bases and Monomials for Uq(G2)-modules
In this paper, we give a new realization of crystal bases for irreducible highest weight modules over Uq(G2) in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization. Introduction In 1985, the quantum groups Uq(g), which may be thought of as q-deformations of the universal enveloping algebras U(g) of Kac-Moody algebras g, were introd...
متن کاملPolyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules
Since Kashiwara introduced the theory of crystal base ([2]) in 1990, one of the most fundamental problems has been to describe the crystal base associated with the given integrable highest weight module as explicitly as possible. In order to answer this, many kinds of new combinatorial objects have been invented, e.g., in [9] some analogues of Young tableaux were introduced in order to describe...
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: Publications of the Research Institute for Mathematical Sciences
سال: 2002
ISSN: 0034-5318
DOI: 10.2977/prims/1145476337