HIGHEST WEIGHT VECTORS OF MIXED TENSOR PRODUCTS OF GENERAL LINEAR 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

Yangians of Lie Superalgebras

This thesis is concerned with extending some well-known results about the Yangians Y (glN) and Y (slN) to the case of super-Yangians. First we produce a new presentation of the Yangian Y (glm|n), using the Gauss decomposition of a matrix with non-commuting entries. Then, by writing the quantum Berezinian in terms of generators from the new presentation we prove that its coefficients generate th...

متن کامل

COMPOSITION FACTORS OF KAC-MODULES FOR THE GENERAL LINEAR LIE SUPERALGEBRAS glm|n

The composition factors of Kac-modules for the general linear Lie superalgebras gl m|n are explicitly determined. In particular, a conjecture of Hughes, King and van der Jeugt in [J. Math. Phys., 41 (2000), 5064-5087] is proved.

متن کامل

Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras

The purpose of this paper is to study Hom-Lie superalgebras, that is a superspace with a bracket for which the superJacobi identity is twisted by a homomorphism. This class is a particular case of Γ-graded quasi-Lie algebras introduced by Larsson and Silvestrov. In this paper, we characterize Hom-Lie admissible superalgebras and provide a construction theorem from which we derive a one paramete...

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: Transformation Groups

سال: 2015

ISSN: 1083-4362,1531-586X

DOI: 10.1007/s00031-015-9331-z