Add to ORKGFix n\u3e2. Let s be a principally embedded sl(2)-subalgebra in sl(n). A special case of work by Jeb Willenbring and Gregg Zuckerman implies that there exists a positive integer b(n) such that for any finite dimensional sl(n)-representation, V, there exists an irreducible s-representation embedding in V with dimension at most b(n). We prove that the best possible value for the bound is b(n)=n
Abstract. We establish an irreducibility property for the characters of finite di-mensional, irreduc...
In this article, we shall generalize a theorem of Cattani and Kaplan on horizontal representations o...
In this note we prove that for any two restricted roots $alpha,$ $beta$ of a real semisimple Lie alg...
We’ll now start the study of arbitrary irreducible representations of higher rank compact Lie groups...
For any semisimple real Lie algebra $\mathfrak{g}_\mathbb{R}$, we classify the representations of $\...
Abstract. In these notes, we give a brief overview of the (finite dimensional) representation theory...
We introduce a new way to study representations of the Lie superalgebra $p(n)$. Since the center of ...
This thesis is an expository account of three central theorems in the representation theory of semis...
AbstractThe main result of this paper is a classification of finite-dimensional representations of t...
For each irreducible finite dimensional representation of the Lie algebra sl2(C) of 2 × 2 traceless ...
AbstractIn 1975,1resolved an irreducible representation of a complex semisimple Lie algebra by Verma...
In this thesis, we establish concrete numerical upper bounds for the representation growth of vario...
This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The n...
We present some results about the irreducible representations appearing in the exterior algebra $\La...
AbstractThe integrable representations of Uq(osp(1, 2n)) are studied. The result shows that there ar...
Abstract. We establish an irreducibility property for the characters of finite di-mensional, irreduc...
In this article, we shall generalize a theorem of Cattani and Kaplan on horizontal representations o...
In this note we prove that for any two restricted roots $alpha,$ $beta$ of a real semisimple Lie alg...
We’ll now start the study of arbitrary irreducible representations of higher rank compact Lie groups...
For any semisimple real Lie algebra $\mathfrak{g}_\mathbb{R}$, we classify the representations of $\...
Abstract. In these notes, we give a brief overview of the (finite dimensional) representation theory...
We introduce a new way to study representations of the Lie superalgebra $p(n)$. Since the center of ...
This thesis is an expository account of three central theorems in the representation theory of semis...
AbstractThe main result of this paper is a classification of finite-dimensional representations of t...
For each irreducible finite dimensional representation of the Lie algebra sl2(C) of 2 × 2 traceless ...
AbstractIn 1975,1resolved an irreducible representation of a complex semisimple Lie algebra by Verma...
In this thesis, we establish concrete numerical upper bounds for the representation growth of vario...
This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The n...
We present some results about the irreducible representations appearing in the exterior algebra $\La...
AbstractThe integrable representations of Uq(osp(1, 2n)) are studied. The result shows that there ar...
Abstract. We establish an irreducibility property for the characters of finite di-mensional, irreduc...
In this article, we shall generalize a theorem of Cattani and Kaplan on horizontal representations o...
In this note we prove that for any two restricted roots $alpha,$ $beta$ of a real semisimple Lie alg...