Highest weight modules for affine Lie superalgebras

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

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 کامل

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 کامل

Characters 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 کامل

Highest-weight Theory: Verma Modules

We will now turn to the problem of classifying and constructing all finitedimensional representations of a complex semi-simple Lie algebra (or, equivalently, of a compact Lie group). It turns out that such representations can be characterized by their “highest-weight”. The first method we’ll consider is purely Lie-algebraic, it begins by constructing a universal representation with a given high...

متن کامل

Combinatorial Bases of Modules for Affine Lie

In this paper we construct bases of standard modules L(Λ) for affine Lie algebra of type B (1) 2 consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for FeiginStoyanovsky’s subspaces W (Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W (kΛ0) for B (1) 2 and the standard module L...

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: Revista Matemática Iberoamericana

سال: 2020

ISSN: 0213-2230

DOI: 10.4171/rmi/1203