Irreducible representations of Lie algebra extensions
نویسندگان
چکیده
منابع مشابه
Bosonic and Fermionic Representations of Lie Algebra Central Extensions
Given any representation of an arbitrary Lie algebra g over a field K of characteristic 0, we construct representations of a central extension of g on bosonic and fermionic Fock space. The method gives an explicit formula for a (sometimes trivial) 2-cocycle in H(g;K). We illustrate these techniques with several concrete examples. MSC: 17B10, 17B56, 17B65, 17B68.
متن کاملIrreducible Representations of Solvable Lie Superalgebras
The description of irreducible finite dimensional representations of finite dimensional solvable Lie superalgebras over complex numbers given by V. Kac is refined. In reality these representations are not just induced from a polarization but are twisted ones, as infinite dimensional representations of solvable Lie algebras. Various cases of irreducibility (general and of type Q) are classified.
متن کاملIrreducible Representations of Semisimple Lie Algebras
The goal of this paper is to study the irreducible representations of semisimple Lie algebras. We will begin by considering two cases of such algebras: sl2(C) and sl3(C). First, we discover the irreducible representations of sl2(C). The process used in doing so will guide us through our development of the irreducible representations of sl3(C). We will note several key similarities in the proces...
متن کاملIrreducible Representations for Toroidal Lie-algebras
1 Introduction Let G be simple finite dimensional Lie algebra over complex
متن کاملGENERIC IRREDUCIBLE REPRESENTATIONS OFFINITE - DIMENSIONAL LIE SUPERALGEBRASIvan
A theory of highest weight modules over an arbitrary nite-dimensional Lie su-peralgebra is constructed. A necessary and suucient condition for the nite-dimensionality of such modules is proved. Generic nite-dimensional irreducible representations are deened and an explicit character formula for such representations is written down. It is conjectured that this formula applies to any generic nite...
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: Bulletin of the American Mathematical Society
سال: 1974
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1974-13547-0