Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function
نویسندگان
چکیده
منابع مشابه
Regular Kac-moody Superalgebras and Integrable Highest Weight Modules
We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras. The results of this paper are a crucial part of the proof for the classification of co...
متن کاملKac - Moody superalgebras and integrable highest weight modules
We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras. The results of this paper are a crucial part of the proof for the classification of co...
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 کاملCharacters of Highest Weight Modules over Affine Lie Algebras Are Meromorphic Functions
We show that the characters of all highest weight modules over an affine Lie algebra with the highest weight away from the critical hyperplane are meromorphic functions in the positive half of the Cartan subalgebra, their singularities being at most simple poles at zeros of real roots. We obtain some information about these singularities. 0. Introduction 0.0.1. Let g be a simple finite-dimensio...
متن کاملHighest weight modules over W1+∞ algebra and the bispectral problem
This paper is the last of a series of papers devoted to the bispectral problem [3]–[6]. Here we examine the connection between the bispectral operators constructed in [6] and the Lie algebra W1+∞ (and its subalgebras). To give a more detailed idea of the contents of the present paper we briefly recall the results of [4]–[6] which we need. In [4] we built large families of representations of W1+...
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: 2001
ISSN: 0010-3616
DOI: 10.1007/s002200000315