Parabolic Verma Modules and Invariant Differential Operators
نویسندگان
چکیده
منابع مشابه
New Generalized Verma Modules and Multilinear Intertwining Differential Operators
The present paper contains two interrelated developments. First are proposed new generalized Verma modules. They are called k Verma modules, k ∈ IN , and coincide with the usual Verma modules for k = 1. As a vector space a k Verma module is isomorphic to the symmetric tensor product of k copies of the universal enveloping algebra U(G), where G is the subalgebra of lowering generators in the sta...
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Let g be a simple finite-dimensional Lie algebra and ĝκ, where κ is an invariant inner product on g, the corresponding affine Kac-Moody algebra. Consider the vacuum module Vκ over ĝκ (see Section 2 for the precise definitions). According to the results of [FF, Fr], the algebra of endomorphisms of Vκ is trivial, i.e., isomorphic to C, unless κ = κc, the critical value. The algebra Endĝκc Vκc is ...
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ژورنال
عنوان ژورنال: Physics of Particles and Nuclei
سال: 2020
ISSN: 1063-7796,1531-8559
DOI: 10.1134/s1063779620040231